164460264 has 64 divisors (see below), whose sum is σ = 425174400. Its totient is φ = 52971264.

The previous prime is 164460223. The next prime is 164460271. The reversal of 164460264 is 462064461.

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, 147742 + ... + 148850.

It is an arithmetic number, because the mean of its divisors is an integer number (6643350).

Almost surely, 2^164460264 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 164460264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212587200).

164460264 is an abundant number, since it is smaller than the sum of its proper divisors (260714136).

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

164460264 is a wasteful number, since it uses less digits than its factorization.

164460264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 164460264 is about 12824.2061742628. The cubic root of 164460264 is about 547.8819519464.

The spelling of 164460264 in words is "one hundred sixty-four million, four hundred sixty thousand, two hundred sixty-four".