164807568 has 80 divisors (see below), whose sum is σ = 483183360. Its totient is φ = 53760384.

The previous prime is 164807527. The next prime is 164807579. The reversal of 164807568 is 865708461.

It is a happy number.

164807568 is a `hidden beast` number, since 1 + 6 + 4 + 80 + 7 + 568 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16246 + ... + 24362.

It is an arithmetic number, because the mean of its divisors is an integer number (6039792).

Almost surely, 2^164807568 is an apocalyptic number.

164807568 is a gapful number since it is divisible by the number (18) 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 164807568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591680).

164807568 is an abundant number, since it is smaller than the sum of its proper divisors (318375792).

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

164807568 is a wasteful number, since it uses less digits than its factorization.

164807568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8181 (or 8169 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 164807568 is about 12837.7399880197. The cubic root of 164807568 is about 548.2673496131.

The spelling of 164807568 in words is "one hundred sixty-four million, eight hundred seven thousand, five hundred sixty-eight".