164075820 has 48 divisors (see below), whose sum is σ = 462520800. Its totient is φ = 43457536.

The previous prime is 164075801. The next prime is 164075851. The reversal of 164075820 is 28570461.

164075820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237 + ... + 18116.

It is an arithmetic number, because the mean of its divisors is an integer number (9635850).

Almost surely, 2^164075820 is an apocalyptic number.

164075820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164075820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231260400).

164075820 is an abundant number, since it is smaller than the sum of its proper divisors (298444980).

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

164075820 is a wasteful number, since it uses less digits than its factorization.

164075820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18514 (or 18512 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 164075820 is about 12809.2084064551. The cubic root of 164075820 is about 547.4547073727.

The spelling of 164075820 in words is "one hundred sixty-four million, seventy-five thousand, eight hundred twenty".