164676864 has 144 divisors (see below), whose sum is σ = 485360064. Its totient is φ = 49152000.

The previous prime is 164676859. The next prime is 164676871. The reversal of 164676864 is 468676461.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1161216) is a multiple of the sum of its prime factors (324).

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, 853152 + ... + 853344.

It is an arithmetic number, because the mean of its divisors is an integer number (3370556).

Almost surely, 2^164676864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242680032).

164676864 is an abundant number, since it is smaller than the sum of its proper divisors (320683200).

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

164676864 is a wasteful number, since it uses less digits than its factorization.

164676864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 164676864 is about 12832.6483626725. The cubic root of 164676864 is about 548.1223730830.

The spelling of 164676864 in words is "one hundred sixty-four million, six hundred seventy-six thousand, eight hundred sixty-four".