65625264 has 120 divisors (see below), whose sum is σ = 193491584. Its totient is φ = 20736000.

The previous prime is 65625257. The next prime is 65625269. The reversal of 65625264 is 46252656.

65625264 is a `hidden beast` number, since 6 + 5 + 625 + 26 + 4 = 666.

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 (65625269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272184 + ... + 272424.

Almost surely, 2^65625264 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 65625264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96745792).

65625264 is an abundant number, since it is smaller than the sum of its proper divisors (127866320).

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

65625264 is a wasteful number, since it uses less digits than its factorization.

65625264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

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

The square root of 65625264 is about 8100.9421674272. The cubic root of 65625264 is about 403.3577023882.

The spelling of 65625264 in words is "sixty-five million, six hundred twenty-five thousand, two hundred sixty-four".