252560 has 80 divisors (see below), whose sum is σ = 749952. Its totient is φ = 76800.

The previous prime is 252559. The next prime is 252583. The reversal of 252560 is 65252.

It is a happy number.

252560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6140 + ... + 6180.

2²⁵²⁵⁶⁰ is an apocalyptic number.

252560 is a gapful number since it is divisible by the number (20) 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 252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

252560 is an abundant number, since it is smaller than the sum of its proper divisors (497392).

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

252560 is a wasteful number, since it uses less digits than its factorization.

252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 252560 is about 502.5534797412. The cubic root of 252560 is about 63.2103492105.

It can be divided in two parts, 25 and 2560, that multiplied together give a cube (64000 = 40³).

The spelling of 252560 in words is "two hundred fifty-two thousand, five hundred sixty".