253560 has 32 divisors (see below), whose sum is σ = 761040. Its totient is φ = 67584.

The previous prime is 253553. The next prime is 253567. The reversal of 253560 is 65352.

It is an interprime number because it is at equal distance from previous prime (253553) and next prime (253567).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253567) by changing a digit.

253560 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 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1176.

2²⁵³⁵⁶⁰ is an apocalyptic number.

253560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253560 is an abundant number, since it is smaller than the sum of its proper divisors (507480).

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

253560 is a wasteful number, since it uses less digits than its factorization.

253560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 253560 is about 503.5474158409. The cubic root of 253560 is about 63.2936655262.

It can be divided in two parts, 2535 and 60, that multiplied together give a square (152100 = 390²).

The spelling of 253560 in words is "two hundred fifty-three thousand, five hundred sixty".