252688 has 20 divisors (see below), whose sum is σ = 518940. Its totient is φ = 118784.

The previous prime is 252667. The next prime is 252691. The reversal of 252688 is 886252.

252688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 169744 = 288^2 + 412^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 736.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2²⁵²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

252688 is an abundant number, since it is smaller than the sum of its proper divisors (266252).

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

252688 is a wasteful number, since it uses less digits than its factorization.

252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 252688 is about 502.6808132404. The cubic root of 252688 is about 63.2210259582.

The spelling of 252688 in words is "two hundred fifty-two thousand, six hundred eighty-eight".