164622164 has 60 divisors (see below), whose sum is σ = 342808788. Its totient is φ = 69148800.

The previous prime is 164622131. The next prime is 164622179. The reversal of 164622164 is 461226461.

It can be written as a sum of positive squares in 2 ways, for example, as 48413764 + 116208400 = 6958^2 + 10780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164622164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585704 + ... + 585984.

Almost surely, 2^164622164 is an apocalyptic number.

164622164 is a gapful number since it is divisible by the number (14) 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 164622164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171404394).

164622164 is an abundant number, since it is smaller than the sum of its proper divisors (178186624).

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

164622164 is an equidigital number, since it uses as much as digits as its factorization.

164622164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 164622164 is about 12830.5169030714. The cubic root of 164622164 is about 548.0616772180.

The spelling of 164622164 in words is "one hundred sixty-four million, six hundred twenty-two thousand, one hundred sixty-four".