252591768 has 96 divisors (see below), whose sum is σ = 803733840. Its totient is φ = 70652160.

The previous prime is 252591767. The next prime is 252591793. The reversal of 252591768 is 867195252.

252591768 is a `hidden beast` number, since 2 + 52 + 591 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×252591768² = 127605202522731648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252591767) 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, 1971 + ... + 22562.

Almost surely, 2^252591768 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 252591768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401866920).

252591768 is an abundant number, since it is smaller than the sum of its proper divisors (551142072).

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

252591768 is a wasteful number, since it uses less digits than its factorization.

252591768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24569 (or 24562 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 252591768 is about 15893.1358768495. The cubic root of 252591768 is about 632.1299938231.

The spelling of 252591768 in words is "two hundred fifty-two million, five hundred ninety-one thousand, seven hundred sixty-eight".