252110768 has 80 divisors (see below), whose sum is σ = 604128000. Its totient is φ = 99249408.

The previous prime is 252110767. The next prime is 252110809. The reversal of 252110768 is 867011252.

It is not an unprimeable number, because it can be changed into a prime (252110767) 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, 504983 + ... + 505481.

It is an arithmetic number, because the mean of its divisors is an integer number (7551600).

Almost surely, 2^252110768 is an apocalyptic number.

252110768 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 252110768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302064000).

252110768 is an abundant number, since it is smaller than the sum of its proper divisors (352017232).

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

252110768 is a wasteful number, since it uses less digits than its factorization.

252110768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 252110768 is about 15877.9963471466. The cubic root of 252110768 is about 631.7284925743.

The spelling of 252110768 in words is "two hundred fifty-two million, one hundred ten thousand, seven hundred sixty-eight".