64252656 has 160 divisors (see below), whose sum is σ = 210611520. Its totient is φ = 18579456.

The previous prime is 64252649. The next prime is 64252663. The reversal of 64252656 is 65625246.

64252656 is a `hidden beast` number, since 642 + 5 + 2 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64252649) and next prime (64252663).

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

Its product of digits (86400) is a multiple of the sum of its prime factors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 64252656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95136 + ... + 95808.

It is an arithmetic number, because the mean of its divisors is an integer number (1316322).

Almost surely, 2^64252656 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 64252656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105305760).

64252656 is an abundant number, since it is smaller than the sum of its proper divisors (146358864).

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

64252656 is a wasteful number, since it uses less digits than its factorization.

64252656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

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

The square root of 64252656 is about 8015.7754459566. The cubic root of 64252656 is about 400.5256755271.

The spelling of 64252656 in words is "sixty-four million, two hundred fifty-two thousand, six hundred fifty-six".