164942920 has 32 divisors (see below), whose sum is σ = 372899520. Its totient is φ = 65661120.

The previous prime is 164942903. The next prime is 164942957. The reversal of 164942920 is 29249461.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164942920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1332 + ... + 18211.

It is an arithmetic number, because the mean of its divisors is an integer number (11653110).

Almost surely, 2^164942920 is an apocalyptic number.

164942920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164942920 is an abundant number, since it is smaller than the sum of its proper divisors (207956600).

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

164942920 is a wasteful number, since it uses less digits than its factorization.

164942920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19765 (or 19761 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 164942920 is about 12843.0105504901. The cubic root of 164942920 is about 548.4174009268.

The spelling of 164942920 in words is "one hundred sixty-four million, nine hundred forty-two thousand, nine hundred twenty".