164656 has 20 divisors (see below), whose sum is σ = 328104. Its totient is φ = 80000.

The previous prime is 164653. The next prime is 164663. The reversal of 164656 is 656461.

It is a super-2 number, since 2×164656² = 54223196672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 531 + ... + 781.

2¹⁶⁴⁶⁵⁶ is an apocalyptic number.

164656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164656 is a deficient number, since it is larger than the sum of its proper divisors (163448).

164656 is a wasteful number, since it uses less digits than its factorization.

164656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 164656 is about 405.7782645732. The cubic root of 164656 is about 54.8099223690.

It can be divided in two parts, 16465 and 6, that multiplied together give a triangular number (98790 = T₄₄₄).

The spelling of 164656 in words is "one hundred sixty-four thousand, six hundred fifty-six".