164913024 has 128 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 51968000.

The previous prime is 164913019. The next prime is 164913043. The reversal of 164913024 is 420319461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 164912982 and 164913000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656899 + ... + 657149.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^164913024 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 164913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

164913024 is an abundant number, since it is smaller than the sum of its proper divisors (297758976).

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

164913024 is a wasteful number, since it uses less digits than its factorization.

164913024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 164913024 is about 12841.8465961870. The cubic root of 164913024 is about 548.3842652674.

The spelling of 164913024 in words is "one hundred sixty-four million, nine hundred thirteen thousand, twenty-four".