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6664608 = 253273317
BaseRepresentation
bin11001011011000110100000
3110112121010100
4121123012200
53201231413
6354502400
7110435226
oct31330640
913477110
106664608
113842245
122294a00
1314c4672
14c56b16
158b9a73
hex65b1a0

6664608 has 72 divisors (see below), whose sum is σ = 19272708. Its totient is φ = 2184192.

The previous prime is 6664607. The next prime is 6664631. The reversal of 6664608 is 8064666.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 374544 = 2508^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6664607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20866 + ... + 21182.

Almost surely, 26664608 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 6664608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9636354).

6664608 is an abundant number, since it is smaller than the sum of its proper divisors (12608100).

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

6664608 is a wasteful number, since it uses less digits than its factorization.

6664608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6664608 is about 2581.5902076046. The cubic root of 6664608 is about 188.1878309867.

The spelling of 6664608 in words is "six million, six hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 317 438 584 634 657 876 951 1168 1268 1314 1752 1902 2336 2536 2628 2853 3504 3804 5072 5256 5706 7008 7608 10144 10512 11412 15216 21024 22824 23141 30432 45648 46282 69423 91296 92564 138846 185128 208269 277692 370256 416538 555384 740512 833076 1110768 1666152 2221536 3332304 6664608