164520720 has 560 divisors, whose sum is σ = 728620032. Its totient is φ = 33592320.

The previous prime is 164520701. The next prime is 164520731. The reversal of 164520720 is 27025461.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5307105 + ... + 5307135.

Almost surely, 2^164520720 is an apocalyptic number.

164520720 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 164520720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364310016).

164520720 is an abundant number, since it is smaller than the sum of its proper divisors (564099312).

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

164520720 is a wasteful number, since it uses less digits than its factorization.

164520720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 164520720 is about 12826.5630626446. The cubic root of 164520720 is about 547.9490779756.

The spelling of 164520720 in words is "one hundred sixty-four million, five hundred twenty thousand, seven hundred twenty".