253608960 has 352 divisors, whose sum is σ = 943257600. Its totient is φ = 57507840.

The previous prime is 253608931. The next prime is 253608961. The reversal of 253608960 is 69806352.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (253608961) 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 31 ways as a sum of consecutive naturals, for example, 3210201 + ... + 3210279.

Almost surely, 2^253608960 is an apocalyptic number.

253608960 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 253608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471628800).

253608960 is an abundant number, since it is smaller than the sum of its proper divisors (689648640).

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

253608960 is a wasteful number, since it uses less digits than its factorization.

253608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 253608960 is about 15925.1047092319. The cubic root of 253608960 is about 632.9773906357.

The spelling of 253608960 in words is "two hundred fifty-three million, six hundred eight thousand, nine hundred sixty".