164972160 has 128 divisors (see below), whose sum is σ = 584337600. Its totient is φ = 43987968.

The previous prime is 164972153. The next prime is 164972161. The reversal of 164972160 is 61279461.

164972160 is a `hidden beast` number, since 1 + 6 + 497 + 2 + 160 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164972161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12507 + ... + 22053.

Almost surely, 2^164972160 is an apocalyptic number.

164972160 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 164972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292168800).

164972160 is an abundant number, since it is smaller than the sum of its proper divisors (419365440).

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

164972160 is an equidigital number, since it uses as much as digits as its factorization.

164972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 164972160 is about 12844.1488624198. The cubic root of 164972160 is about 548.4498056264.

The spelling of 164972160 in words is "one hundred sixty-four million, nine hundred seventy-two thousand, one hundred sixty".