253668160 has 28 divisors (see below), whose sum is σ = 604048068. Its totient is φ = 101467136.

The previous prime is 253668119. The next prime is 253668251. The reversal of 253668160 is 61866352.

253668160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116122176 + 137545984 = 10776^2 + 11728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 396037 + ... + 396676.

Almost surely, 2^253668160 is an apocalyptic number.

253668160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253668160 is an abundant number, since it is smaller than the sum of its proper divisors (350379908).

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

253668160 is an equidigital number, since it uses as much as digits as its factorization.

253668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792730 (or 792720 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 253668160 is about 15926.9633012700. The cubic root of 253668160 is about 633.0266388250.

It can be divided in two parts, 253668 and 160, that added together give a triangular number (253828 = T₇₁₂).

The spelling of 253668160 in words is "two hundred fifty-three million, six hundred sixty-eight thousand, one hundred sixty".