252168 has 64 divisors (see below), whose sum is σ = 768000. Its totient is φ = 67392.

The previous prime is 252163. The next prime is 252169. The reversal of 252168 is 861252.

252168 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 not an unprimeable number, because it can be changed into a prime (252163) by changing a digit.

252168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3153 + ... + 3231.

It is an arithmetic number, because the mean of its divisors is an integer number (12000).

2²⁵²¹⁶⁸ is an apocalyptic number.

252168 is a gapful number since it is divisible by the number (28) 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 252168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384000).

252168 is an abundant number, since it is smaller than the sum of its proper divisors (515832).

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

252168 is a wasteful number, since it uses less digits than its factorization.

252168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 252168 is about 502.1633200464. The cubic root of 252168 is about 63.1776292132.

The spelling of 252168 in words is "two hundred fifty-two thousand, one hundred sixty-eight".