164042880 has 64 divisors (see below), whose sum is σ = 522892800. Its totient is φ = 43744256.

The previous prime is 164042869. The next prime is 164042909. The reversal of 164042880 is 88240461.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40800 + ... + 44639.

It is an arithmetic number, because the mean of its divisors is an integer number (8170200).

Almost surely, 2^164042880 is an apocalyptic number.

164042880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164042880 is an abundant number, since it is smaller than the sum of its proper divisors (358849920).

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

164042880 is an equidigital number, since it uses as much as digits as its factorization.

164042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85461 (or 85449 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 164042880 is about 12807.9225481731. The cubic root of 164042880 is about 547.4180690978.

The spelling of 164042880 in words is "one hundred sixty-four million, forty-two thousand, eight hundred eighty".