164896560 has 100 divisors (see below), whose sum is σ = 572732688. Its totient is φ = 43970688.

The previous prime is 164896559. The next prime is 164896579. The reversal of 164896560 is 65698461.

164896560 is a `hidden beast` number, since 1 + 6 + 4 + 89 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6244 + ... + 19203.

Almost surely, 2^164896560 is an apocalyptic number.

164896560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164896560 is an abundant number, since it is smaller than the sum of its proper divisors (407836128).

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

164896560 is a wasteful number, since it uses less digits than its factorization.

164896560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472 (or 25457 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 164896560 is about 12841.2055508819. The cubic root of 164896560 is about 548.3660154474.

The spelling of 164896560 in words is "one hundred sixty-four million, eight hundred ninety-six thousand, five hundred sixty".