164160864 has 96 divisors (see below), whose sum is σ = 547223040. Its totient is φ = 46901376.

The previous prime is 164160859. The next prime is 164160877. The reversal of 164160864 is 468061461.

164160864 is a `hidden beast` number, since 1 + 6 + 41 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7524 + ... + 19619.

It is an arithmetic number, because the mean of its divisors is an integer number (5700240).

Almost surely, 2^164160864 is an apocalyptic number.

164160864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164160864 is an abundant number, since it is smaller than the sum of its proper divisors (383062176).

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

164160864 is a wasteful number, since it uses less digits than its factorization.

164160864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27169 (or 27155 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164160864 is about 12812.5276194824. The cubic root of 164160864 is about 547.5492768558.

It can be divided in two parts, 164 and 160864, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 164160864 in words is "one hundred sixty-four million, one hundred sixty thousand, eight hundred sixty-four".