64601856 has 108 divisors (see below), whose sum is σ = 203275800. Its totient is φ = 19568640.

The previous prime is 64601851. The next prime is 64601857. The reversal of 64601856 is 65810646.

64601856 is a `hidden beast` number, since 646 + 0 + 1 + 8 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64601856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64601851) 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, 24070 + ... + 26618.

Almost surely, 2^64601856 is an apocalyptic number.

64601856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101637900).

64601856 is an abundant number, since it is smaller than the sum of its proper divisors (138673944).

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

64601856 is a wasteful number, since it uses less digits than its factorization.

64601856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64601856 is about 8037.5279781784. The cubic root of 64601856 is about 401.2499566192.

The spelling of 64601856 in words is "sixty-four million, six hundred one thousand, eight hundred fifty-six".