164170400 has 36 divisors (see below), whose sum is σ = 400782942. Its totient is φ = 65667840.

The previous prime is 164170381. The next prime is 164170403. The reversal of 164170400 is 4071461.

164170400 is digitally balanced in base 3, 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 3 ways, for example, as 160680976 + 3489424 = 12676^2 + 1868^2 .

It is not an unprimeable number, because it can be changed into a prime (164170403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101807 + ... + 103406.

Almost surely, 2^164170400 is an apocalyptic number.

164170400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164170400 is an abundant number, since it is smaller than the sum of its proper divisors (236612542).

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

164170400 is a wasteful number, since it uses less digits than its factorization.

164170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205233 (or 205220 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 164170400 is about 12812.8997498615. The cubic root of 164170400 is about 547.5598789134.

The spelling of 164170400 in words is "one hundred sixty-four million, one hundred seventy thousand, four hundred".