253608 has 16 divisors (see below), whose sum is σ = 634080. Its totient is φ = 84528.

The previous prime is 253607. The next prime is 253609. The reversal of 253608 is 806352.

It is an interprime number because it is at equal distance from previous prime (253607) and next prime (253609).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10567 = 253608 / (2 + 5 + 3 + 6 + 0 + 8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253608.

It is not an unprimeable number, because it can be changed into a prime (253601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5260 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (39630).

2²⁵³⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

253608 is an abundant number, since it is smaller than the sum of its proper divisors (380472).

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

253608 is a wasteful number, since it uses less digits than its factorization.

253608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 253608 is about 503.5950754326. The cubic root of 253608 is about 63.2976591953.

It can be divided in two parts, 253 and 608, that added together give a triangular number (861 = T₄₁).

The spelling of 253608 in words is "two hundred fifty-three thousand, six hundred eight".