164640801 has 32 divisors (see below), whose sum is σ = 258975360. Its totient is φ = 92058624.

The previous prime is 164640761. The next prime is 164640803. The reversal of 164640801 is 108046461.

It is not a de Polignac number, because 164640801 - 2¹⁸ = 164378657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164640803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14946 + ... + 23508.

It is an arithmetic number, because the mean of its divisors is an integer number (8092980).

Almost surely, 2^164640801 is an apocalyptic number.

It is an amenable number.

164640801 is a deficient number, since it is larger than the sum of its proper divisors (94334559).

164640801 is a wasteful number, since it uses less digits than its factorization.

164640801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 164640801 is about 12831.2431587902. The cubic root of 164640801 is about 548.0823585969.

The spelling of 164640801 in words is "one hundred sixty-four million, six hundred forty thousand, eight hundred one".