162400164 has 48 divisors (see below), whose sum is σ = 389292288. Its totient is φ = 52663968.

The previous prime is 162400153. The next prime is 162400177. The reversal of 162400164 is 461004261.

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 15 ways as a sum of consecutive naturals, for example, 178599 + ... + 179505.

It is an arithmetic number, because the mean of its divisors is an integer number (8110256).

Almost surely, 2^162400164 is an apocalyptic number.

It is an amenable number.

162400164 is an abundant number, since it is smaller than the sum of its proper divisors (226892124).

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

162400164 is a wasteful number, since it uses less digits than its factorization.

162400164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 162400164 is about 12743.6322922470. The cubic root of 162400164 is about 545.5846644827.

The spelling of 162400164 in words is "one hundred sixty-two million, four hundred thousand, one hundred sixty-four".