252806064 has 80 divisors (see below), whose sum is σ = 778854912. Its totient is φ = 69087744.

The previous prime is 252806033. The next prime is 252806069. The reversal of 252806064 is 460608252.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252806069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8629 + ... + 24084.

Almost surely, 2^252806064 is an apocalyptic number.

252806064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252806064 is an abundant number, since it is smaller than the sum of its proper divisors (526048848).

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

252806064 is a wasteful number, since it uses less digits than its factorization.

252806064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32754 (or 32748 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 252806064 is about 15899.8762259333. The cubic root of 252806064 is about 632.3087072730.

The spelling of 252806064 in words is "two hundred fifty-two million, eight hundred six thousand, sixty-four".