164766112 has 48 divisors (see below), whose sum is σ = 386854272. Its totient is φ = 67541760.

The previous prime is 164766101. The next prime is 164766127. The reversal of 164766112 is 211667461.

164766112 = 369² + 370² + ... + 816².

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, 10839 + ... + 21142.

It is an arithmetic number, because the mean of its divisors is an integer number (8059464).

Almost surely, 2^164766112 is an apocalyptic number.

It is an amenable number.

164766112 is an abundant number, since it is smaller than the sum of its proper divisors (222088160).

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

164766112 is a wasteful number, since it uses less digits than its factorization.

164766112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32021 (or 32013 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 164766112 is about 12836.1252720593. The cubic root of 164766112 is about 548.2213750309.

The spelling of 164766112 in words is "one hundred sixty-four million, seven hundred sixty-six thousand, one hundred twelve".