252827568 has 300 divisors, whose sum is σ = 893938320. Its totient is φ = 67495680.

The previous prime is 252827527. The next prime is 252827593. The reversal of 252827568 is 865728252.

252827568 is a `hidden beast` number, since 2 + 5 + 2 + 82 + 7 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8155713 + ... + 8155743.

Almost surely, 2^252827568 is an apocalyptic number.

252827568 is a gapful number since it is divisible by the number (28) 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 252827568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446969160).

252827568 is an abundant number, since it is smaller than the sum of its proper divisors (641110752).

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

252827568 is a wasteful number, since it uses less digits than its factorization.

252827568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 252827568 is about 15900.5524432329. The cubic root of 252827568 is about 632.3266350879.

The spelling of 252827568 in words is "two hundred fifty-two million, eight hundred twenty-seven thousand, five hundred sixty-eight".