252096 has 56 divisors (see below), whose sum is σ = 725424. Its totient is φ = 76800.

The previous prime is 252079. The next prime is 252101. The reversal of 252096 is 690252.

252096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 7 ways as a sum of consecutive naturals, for example, 2446 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (12954).

252096 is a Friedman number, since it can be written as (205^2-9)*6, using all its digits and the basic arithmetic operations.

2²⁵²⁰⁹⁶ is an apocalyptic number.

252096 is a gapful number since it is divisible by the number (26) 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 252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362712).

252096 is an abundant number, since it is smaller than the sum of its proper divisors (473328).

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

252096 is a wasteful number, since it uses less digits than its factorization.

252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

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

The square root of 252096 is about 502.0916251044. The cubic root of 252096 is about 63.1716157324.

The spelling of 252096 in words is "two hundred fifty-two thousand, ninety-six".