253668560 has 80 divisors (see below), whose sum is σ = 627388416. Its totient is φ = 95053824.

The previous prime is 253668551. The next prime is 253668593. The reversal of 253668560 is 65866352.

It is a tau number, because it is divible by the number of its divisors (80).

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, 520637 + ... + 521123.

Almost surely, 2^253668560 is an apocalyptic number.

253668560 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 253668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313694208).

253668560 is an abundant number, since it is smaller than the sum of its proper divisors (373719856).

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

253668560 is a wasteful number, since it uses less digits than its factorization.

253668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 253668560 is about 15926.9758585866. The cubic root of 253668560 is about 633.0269715569.

The spelling of 253668560 in words is "two hundred fifty-three million, six hundred sixty-eight thousand, five hundred sixty".