164892672 has 260 divisors, whose sum is σ = 570879936. Its totient is φ = 46448640.

The previous prime is 164892661. The next prime is 164892677. The reversal of 164892672 is 276298461.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (164892677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322397 + ... + 2322467.

Almost surely, 2^164892672 is an apocalyptic number.

164892672 is a gapful number since it is divisible by the number (12) 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 164892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285439968).

164892672 is an abundant number, since it is smaller than the sum of its proper divisors (405987264).

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

164892672 is an frugal number, since it uses more digits than its factorization.

164892672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 164892672 is about 12841.0541623342. The cubic root of 164892672 is about 548.3617055458.

The spelling of 164892672 in words is "one hundred sixty-four million, eight hundred ninety-two thousand, six hundred seventy-two".