253666560 has 144 divisors (see below), whose sum is σ = 925981056. Its totient is φ = 57974784.

The previous prime is 253666559. The next prime is 253666573. The reversal of 253666560 is 65666352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22162 + ... + 31598.

It is an arithmetic number, because the mean of its divisors is an integer number (6430424).

Almost surely, 2^253666560 is an apocalyptic number.

253666560 is a gapful number since it is divisible by the number (20) 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 253666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462990528).

253666560 is an abundant number, since it is smaller than the sum of its proper divisors (672314496).

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

253666560 is an equidigital number, since it uses as much as digits as its factorization.

253666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 253666560 is about 15926.9130719044. The cubic root of 253666560 is about 633.0253078936.

It can be divided in two parts, 2536 and 66560, that added together give a palindrome (69096).

The spelling of 253666560 in words is "two hundred fifty-three million, six hundred sixty-six thousand, five hundred sixty".