252960 has 96 divisors (see below), whose sum is σ = 870912. Its totient is φ = 61440.

The previous prime is 252949. The next prime is 252971. The reversal of 252960 is 69252.

It is an interprime number because it is at equal distance from previous prime (252949) and next prime (252971).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×252960⁴ (a number of 23 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252960.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252960.

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, 8145 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2²⁵²⁹⁶⁰ is an apocalyptic number.

252960 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 252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

252960 is an abundant number, since it is smaller than the sum of its proper divisors (617952).

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

252960 is a wasteful number, since it uses less digits than its factorization.

252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 252960 is about 502.9512898880. The cubic root of 252960 is about 63.2437020814.

The spelling of 252960 in words is "two hundred fifty-two thousand, nine hundred sixty".