252768 has 24 divisors (see below), whose sum is σ = 663768. Its totient is φ = 84224.

The previous prime is 252767. The next prime is 252779. The reversal of 252768 is 867252.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252768.

It is not an unprimeable number, because it can be changed into a prime (252761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1221 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (27657).

2²⁵²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

252768 is an abundant number, since it is smaller than the sum of its proper divisors (411000).

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

252768 is a wasteful number, since it uses less digits than its factorization.

252768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2638 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 252768 is about 502.7603803006. The cubic root of 252768 is about 63.2276970947.

The spelling of 252768 in words is "two hundred fifty-two thousand, seven hundred sixty-eight".