164923968 has 168 divisors, whose sum is σ = 497271040. Its totient is φ = 48153600.

The previous prime is 164923951. The next prime is 164924029. The reversal of 164923968 is 869329461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720078 + ... + 720306.

Almost surely, 2^164923968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248635520).

164923968 is an abundant number, since it is smaller than the sum of its proper divisors (332347072).

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

164923968 is a wasteful number, since it uses less digits than its factorization.

164923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 164923968 is about 12842.2726960612. The cubic root of 164923968 is about 548.3963956710.

The spelling of 164923968 in words is "one hundred sixty-four million, nine hundred twenty-three thousand, nine hundred sixty-eight".