164057720 has 64 divisors (see below), whose sum is σ = 377136000. Its totient is φ = 64217088.

The previous prime is 164057681. The next prime is 164057813. The reversal of 164057720 is 27750461.

164057720 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, 609746 + ... + 610014.

It is an arithmetic number, because the mean of its divisors is an integer number (5892750).

Almost surely, 2^164057720 is an apocalyptic number.

164057720 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 164057720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188568000).

164057720 is an abundant number, since it is smaller than the sum of its proper divisors (213078280).

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

164057720 is a wasteful number, since it uses less digits than its factorization.

164057720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 164057720 is about 12808.5018639964. The cubic root of 164057720 is about 547.4345758371.

The spelling of 164057720 in words is "one hundred sixty-four million, fifty-seven thousand, seven hundred twenty".