252636864 has 168 divisors, whose sum is σ = 739231440. Its totient is φ = 76038144.

The previous prime is 252636859. The next prime is 252636869. The reversal of 252636864 is 468636252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252636859) and next prime (252636869).

It is not an unprimeable number, because it can be changed into a prime (252636869) 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, 1609074 + ... + 1609230.

Almost surely, 2^252636864 is an apocalyptic number.

252636864 is a gapful number since it is divisible by the number (24) 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 252636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369615720).

252636864 is an abundant number, since it is smaller than the sum of its proper divisors (486594576).

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

252636864 is a wasteful number, since it uses less digits than its factorization.

252636864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 252636864 is about 15894.5545392125. The cubic root of 252636864 is about 632.1676103010.

The spelling of 252636864 in words is "two hundred fifty-two million, six hundred thirty-six thousand, eight hundred sixty-four".