164894976 has 54 divisors (see below), whose sum is σ = 475439510. Its totient is φ = 54964224.

The previous prime is 164894963. The next prime is 164895001. The reversal of 164894976 is 679498461.

It can be written as a sum of positive squares in only one way, i.e., 155750400 + 9144576 = 12480^2 + 3024^2 .

It is a super-2 number, since 2×164894976² = 54380706220081152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33481 + ... + 38088.

Almost surely, 2^164894976 is an apocalyptic number.

164894976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164894976 is an abundant number, since it is smaller than the sum of its proper divisors (310544534).

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

164894976 is an equidigital number, since it uses as much as digits as its factorization.

164894976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71591 (or 71574 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 164894976 is about 12841.1438742816. The cubic root of 164894976 is about 548.3642595697.

The spelling of 164894976 in words is "one hundred sixty-four million, eight hundred ninety-four thousand, nine hundred seventy-six".