253807164 has 36 divisors (see below), whose sum is σ = 690920776. Its totient is φ = 78094368.

The previous prime is 253807121. The next prime is 253807181. The reversal of 253807164 is 461708352.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270694 + ... + 271629.

Almost surely, 2^253807164 is an apocalyptic number.

It is an amenable number.

253807164 is an abundant number, since it is smaller than the sum of its proper divisors (437113612).

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

253807164 is a wasteful number, since it uses less digits than its factorization.

253807164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542346 (or 542341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 253807164 is about 15931.3264984432. The cubic root of 253807164 is about 633.1422454599.

The spelling of 253807164 in words is "two hundred fifty-three million, eight hundred seven thousand, one hundred sixty-four".