164560896 has 170 divisors, whose sum is σ = 507506912. Its totient is φ = 53084160.

The previous prime is 164560873. The next prime is 164560909. The reversal of 164560896 is 698065461.

164560896 is a `hidden beast` number, since 1 + 6 + 4 + 560 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308401 + ... + 5308431.

Almost surely, 2^164560896 is an apocalyptic number.

164560896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253753456).

164560896 is an abundant number, since it is smaller than the sum of its proper divisors (342946016).

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

164560896 is an frugal number, since it uses more digits than its factorization.

164560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

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

The square root of 164560896 is about 12828.1290919604. The cubic root of 164560896 is about 547.9936774449.

Subtracting from 164560896 its product of nonzero digits (311040), we obtain a square (164249856 = 12816²).

The spelling of 164560896 in words is "one hundred sixty-four million, five hundred sixty thousand, eight hundred ninety-six".