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640817616 = 243311273391
BaseRepresentation
bin100110001100100…
…001100111010000
31122122210220111210
4212030201213100
52303022130431
6143330540120
721610600635
oct4614414720
91578726453
10640817616
112a97a783a
1215a737640
13a29ba62a
146117018c
153b3d1d46
hex263219d0

640817616 has 80 divisors (see below), whose sum is σ = 1722810368. Its totient is φ = 205027200.

The previous prime is 640817609. The next prime is 640817621. The reversal of 640817616 is 616718046.

It is a happy number.

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, 187281 + ... + 190671.

Almost surely, 2640817616 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 640817616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861405184).

640817616 is an abundant number, since it is smaller than the sum of its proper divisors (1081992752).

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

640817616 is a wasteful number, since it uses less digits than its factorization.

640817616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 640817616 is about 25314.3756786534. The cubic root of 640817616 is about 862.1406990722.

The spelling of 640817616 in words is "six hundred forty million, eight hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 127 186 248 254 372 381 496 508 744 762 1016 1488 1524 2032 3048 3391 3937 6096 6782 7874 10173 11811 13564 15748 20346 23622 27128 31496 40692 47244 54256 62992 81384 94488 105121 162768 188976 210242 315363 420484 430657 630726 840968 861314 1261452 1291971 1681936 1722628 2522904 2583942 3445256 5045808 5167884 6890512 10335768 13350367 20671536 26700734 40051101 53401468 80102202 106802936 160204404 213605872 320408808 640817616