64456056 has 192 divisors, whose sum is σ = 215654400. Its totient is φ = 16982784.

The previous prime is 64456043. The next prime is 64456103. The reversal of 64456056 is 65065446.

It is a happy number.

64456056 is a `hidden beast` number, since 6 + 4 + 45 + 605 + 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 64456056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507465 + ... + 507591.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^64456056 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 64456056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107827200).

64456056 is an abundant number, since it is smaller than the sum of its proper divisors (151198344).

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

64456056 is a wasteful number, since it uses less digits than its factorization.

64456056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 64456056 is about 8028.4529020229. The cubic root of 64456056 is about 400.9478687545.

The spelling of 64456056 in words is "sixty-four million, four hundred fifty-six thousand, fifty-six".