252096768 has 432 divisors, whose sum is σ = 956592000. Its totient is φ = 63221760.

The previous prime is 252096749. The next prime is 252096781. The reversal of 252096768 is 867690252.

252096768 is a `hidden beast` number, since 2 + 520 + 9 + 67 + 68 = 666.

252096768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8692978 + ... + 8693006.

Almost surely, 2^252096768 is an apocalyptic number.

252096768 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 252096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478296000).

252096768 is an abundant number, since it is smaller than the sum of its proper divisors (704495232).

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

252096768 is a wasteful number, since it uses less digits than its factorization.

252096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 252096768 is about 15877.5554793551. Note that the first 3 decimals coincide. The cubic root of 252096768 is about 631.7167988220.

The spelling of 252096768 in words is "two hundred fifty-two million, ninety-six thousand, seven hundred sixty-eight".