164046672 has 60 divisors (see below), whose sum is σ = 479073504. Its totient is φ = 52303680.

The previous prime is 164046667. The next prime is 164046689. The reversal of 164046672 is 276640461.

164046672 is a `hidden beast` number, since 1 + 640 + 4 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×164046672² = 53822621188551168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21454 + ... + 28077.

Almost surely, 2^164046672 is an apocalyptic number.

164046672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164046672 is an abundant number, since it is smaller than the sum of its proper divisors (315026832).

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

164046672 is a wasteful number, since it uses less digits than its factorization.

164046672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49568 (or 49559 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 164046672 is about 12808.0705806925. The cubic root of 164046672 is about 547.4222870871.

The spelling of 164046672 in words is "one hundred sixty-four million, forty-six thousand, six hundred seventy-two".