164014564 has 36 divisors (see below), whose sum is σ = 348413184. Its totient is φ = 67233936.

The previous prime is 164014559. The next prime is 164014567. The reversal of 164014564 is 465410461.

164014564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164014564² = 53801554408220192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164014567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13684 + ... + 22699.

It is an arithmetic number, because the mean of its divisors is an integer number (9678144).

Almost surely, 2^164014564 is an apocalyptic number.

164014564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164014564 is an abundant number, since it is smaller than the sum of its proper divisors (184398620).

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

164014564 is a wasteful number, since it uses less digits than its factorization.

164014564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36424 (or 36415 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 164014564 is about 12806.8170909090. The cubic root of 164014564 is about 547.3865700531.

The spelling of 164014564 in words is "one hundred sixty-four million, fourteen thousand, five hundred sixty-four".