164965920 has 192 divisors, whose sum is σ = 614718720. Its totient is φ = 36384768.

The previous prime is 164965877. The next prime is 164965939. The reversal of 164965920 is 29569461.

It is a happy number.

It is a super-2 number, since 2×164965920² = 54427509522892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96594 + ... + 98286.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 2^164965920 is an apocalyptic number.

164965920 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 164965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307359360).

164965920 is an abundant number, since it is smaller than the sum of its proper divisors (449752800).

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

164965920 is a wasteful number, since it uses less digits than its factorization.

164965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 164965920 is about 12843.9059479584. The cubic root of 164965920 is about 548.4428905810.

The spelling of 164965920 in words is "one hundred sixty-four million, nine hundred sixty-five thousand, nine hundred twenty".