164354976 has 36 divisors (see below), whose sum is σ = 467385282. Its totient is φ = 54784896.

The previous prime is 164354969. The next prime is 164355007. The reversal of 164354976 is 679453461.

It can be written as a sum of positive squares in only one way, i.e., 107744400 + 56610576 = 10380^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 285051 + ... + 285626.

Almost surely, 2^164354976 is an apocalyptic number.

164354976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164354976 is an abundant number, since it is smaller than the sum of its proper divisors (303030306).

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

164354976 is a wasteful number, since it uses less digits than its factorization.

164354976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570693 (or 570682 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 164354976 is about 12820.1004676250. The cubic root of 164354976 is about 547.7650083799.

The spelling of 164354976 in words is "one hundred sixty-four million, three hundred fifty-four thousand, nine hundred seventy-six".