164538960 has 80 divisors (see below), whose sum is σ = 518478720. Its totient is φ = 43153920.

The previous prime is 164538943. The next prime is 164538973. The reversal of 164538960 is 69835461.

It is a tau number, because it is divible by the number of its divisors (80).

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, 9021 + ... + 20259.

It is an arithmetic number, because the mean of its divisors is an integer number (6480984).

Almost surely, 2^164538960 is an apocalyptic number.

164538960 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 164538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259239360).

164538960 is an abundant number, since it is smaller than the sum of its proper divisors (353939760).

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

164538960 is a wasteful number, since it uses less digits than its factorization.

164538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11316 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 164538960 is about 12827.2740673925. The cubic root of 164538960 is about 547.9693271411.

The spelling of 164538960 in words is "one hundred sixty-four million, five hundred thirty-eight thousand, nine hundred sixty".