164520928 has 96 divisors (see below), whose sum is σ = 384622560. Its totient is φ = 68290560.

The previous prime is 164520901. The next prime is 164520947. The reversal of 164520928 is 829025461.

164520928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 718318 + ... + 718546.

It is an arithmetic number, because the mean of its divisors is an integer number (4006485).

Almost surely, 2^164520928 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 164520928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192311280).

164520928 is an abundant number, since it is smaller than the sum of its proper divisors (220101632).

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

164520928 is a wasteful number, since it uses less digits than its factorization.

164520928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 164520928 is about 12826.5711708157. The cubic root of 164520928 is about 547.9493088956.

The spelling of 164520928 in words is "one hundred sixty-four million, five hundred twenty thousand, nine hundred twenty-eight".