164003664 has 80 divisors (see below), whose sum is σ = 463970304. Its totient is φ = 49507200.

The previous prime is 164003627. The next prime is 164003669. The reversal of 164003664 is 466300461.

164003664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164003669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201819 + ... + 202629.

Almost surely, 2^164003664 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 164003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231985152).

164003664 is an abundant number, since it is smaller than the sum of its proper divisors (299966640).

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

164003664 is a wasteful number, since it uses less digits than its factorization.

164003664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 164003664 is about 12806.3915292326. The cubic root of 164003664 is about 547.3744438012.

The spelling of 164003664 in words is "one hundred sixty-four million, three thousand, six hundred sixty-four".