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640907616 = 25317499787
BaseRepresentation
bin100110001100110…
…111100101100000
31122122222110222010
4212030313211200
52303033020431
6143332512520
721611424216
oct4614674540
91578873863
10640907616
112a9859418
1215a77b740
13a2a1c59b
1461194cb6
153b3ed846
hex26337960

640907616 has 96 divisors (see below), whose sum is σ = 1787184000. Its totient is φ = 200411136.

The previous prime is 640907591. The next prime is 640907621. The reversal of 640907616 is 616709046.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813975 + ... + 814761.

It is an arithmetic number, because the mean of its divisors is an integer number (18616500).

Almost surely, 2640907616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640907616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893592000).

640907616 is an abundant number, since it is smaller than the sum of its proper divisors (1146276384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640907616 is a wasteful number, since it uses less digits than its factorization.

640907616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 640907616 is about 25316.1532622948. The cubic root of 640907616 is about 862.1810584655.

The spelling of 640907616 in words is "six hundred forty million, nine hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 499 544 787 816 998 1497 1574 1632 1996 2361 2994 3148 3992 4722 5988 6296 7984 8483 9444 11976 12592 13379 15968 16966 18888 23952 25184 25449 26758 33932 37776 40137 47904 50898 53516 67864 75552 80274 101796 107032 135728 160548 203592 214064 271456 321096 392713 407184 428128 642192 785426 814368 1178139 1284384 1570852 2356278 3141704 4712556 6283408 6676121 9425112 12566816 13352242 18850224 20028363 26704484 37700448 40056726 53408968 80113452 106817936 160226904 213635872 320453808 640907616