164664960 has 128 divisors (see below), whose sum is σ = 529502400. Its totient is φ = 43524096.

The previous prime is 164664919. The next prime is 164664977. The reversal of 164664960 is 69466461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×164664960² = 54229098103603200, which contains 22 as substring.

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, 266572 + ... + 267188.

Almost surely, 2^164664960 is an apocalyptic number.

164664960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264751200).

164664960 is an abundant number, since it is smaller than the sum of its proper divisors (364837440).

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

164664960 is a wasteful number, since it uses less digits than its factorization.

164664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 164664960 is about 12832.1845373264. The cubic root of 164664960 is about 548.1091653869.

The spelling of 164664960 in words is "one hundred sixty-four million, six hundred sixty-four thousand, nine hundred sixty".