253624 has 24 divisors (see below), whose sum is σ = 554040. Its totient is φ = 108528.

The previous prime is 253613. The next prime is 253633. The reversal of 253624 is 426352.

It is a happy number.

It is a d-powerful number, because it can be written as 2³ + 5⁵ + 6⁵ + 3¹¹ + 2⁵ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 253595 and 253604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2²⁵³⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277020).

253624 is an abundant number, since it is smaller than the sum of its proper divisors (300416).

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

253624 is a wasteful number, since it uses less digits than its factorization.

253624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 253624 is about 503.6109609609. The cubic root of 253624 is about 63.2989903064.

Adding to 253624 its reverse (426352), we get a palindrome (679976).

The spelling of 253624 in words is "two hundred fifty-three thousand, six hundred twenty-four".