164672256 has 72 divisors (see below), whose sum is σ = 500894464. Its totient is φ = 47047680.

The previous prime is 164672239. The next prime is 164672273. The reversal of 164672256 is 652276461.

It is an interprime number because it is at equal distance from previous prime (164672239) and next prime (164672273).

It is a super-2 number, since 2×164672256² = 54233903792259072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9940 + ... + 20691.

Almost surely, 2^164672256 is an apocalyptic number.

164672256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164672256 is an abundant number, since it is smaller than the sum of its proper divisors (336222208).

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

164672256 is an equidigital number, since it uses as much as digits as its factorization.

164672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30657 (or 30643 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 164672256 is about 12832.4688193660. The cubic root of 164672256 is about 548.1172605020.

The spelling of 164672256 in words is "one hundred sixty-four million, six hundred seventy-two thousand, two hundred fifty-six".