164965800 has 48 divisors (see below), whose sum is σ = 511395840. Its totient is φ = 43990720.

The previous prime is 164965799. The next prime is 164965813. The reversal of 164965800 is 8569461.

164965800 is nontrivially palindromic in base 9.

164965800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136872 + ... + 138071.

It is an arithmetic number, because the mean of its divisors is an integer number (10654080).

Almost surely, 2^164965800 is an apocalyptic number.

164965800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164965800 is an abundant number, since it is smaller than the sum of its proper divisors (346430040).

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

164965800 is a wasteful number, since it uses less digits than its factorization.

164965800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274962 (or 274953 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 164965800 is about 12843.9012764814. The cubic root of 164965800 is about 548.4427575977.

The spelling of 164965800 in words is "one hundred sixty-four million, nine hundred sixty-five thousand, eight hundred".