164264976 has 80 divisors (see below), whose sum is σ = 473035200. Its totient is φ = 54577152.

The previous prime is 164264963. The next prime is 164264981. The reversal of 164264976 is 679462461.

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, 248935 + ... + 249593.

It is an arithmetic number, because the mean of its divisors is an integer number (5912940).

Almost surely, 2^164264976 is an apocalyptic number.

164264976 is a gapful number since it is divisible by the number (16) 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 164264976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236517600).

164264976 is an abundant number, since it is smaller than the sum of its proper divisors (308770224).

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

164264976 is a wasteful number, since it uses less digits than its factorization.

164264976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 164264976 is about 12816.5898740656. The cubic root of 164264976 is about 547.6650056231.

The spelling of 164264976 in words is "one hundred sixty-four million, two hundred sixty-four thousand, nine hundred seventy-six".