164980960 has 48 divisors (see below), whose sum is σ = 390549600. Its totient is φ = 65860096.

The previous prime is 164980943. The next prime is 164980961. The reversal of 164980960 is 69089461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164980961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 133626 + ... + 134854.

It is an arithmetic number, because the mean of its divisors is an integer number (8136450).

Almost surely, 2^164980960 is an apocalyptic number.

164980960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164980960 is an abundant number, since it is smaller than the sum of its proper divisors (225568640).

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

164980960 is a wasteful number, since it uses less digits than its factorization.

164980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 164980960 is about 12844.4914262885. The cubic root of 164980960 is about 548.4595573172.

The spelling of 164980960 in words is "one hundred sixty-four million, nine hundred eighty thousand, nine hundred sixty".