164905344 has 96 divisors (see below), whose sum is σ = 485713800. Its totient is φ = 53673984.

The previous prime is 164905327. The next prime is 164905379. The reversal of 164905344 is 443509461.

164905344 is a `hidden beast` number, since 1 + 649 + 0 + 5 + 3 + 4 + 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 junction number, because it is equal to n+sod(n) for n = 164905299 and 164905308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47872 + ... + 51200.

Almost surely, 2^164905344 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 164905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242856900).

164905344 is an abundant number, since it is smaller than the sum of its proper divisors (320808456).

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

164905344 is a wasteful number, since it uses less digits than its factorization.

164905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 164905344 is about 12841.5475702892. The cubic root of 164905344 is about 548.3757523830.

The spelling of 164905344 in words is "one hundred sixty-four million, nine hundred five thousand, three hundred forty-four".