164640384 has 64 divisors (see below), whose sum is σ = 485928000. Its totient is φ = 54878976.

The previous prime is 164640353. The next prime is 164640397. The reversal of 164640384 is 483046461.

164640384 is a `hidden beast` number, since 1 + 6 + 4 + 640 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20364 + ... + 27275.

It is an arithmetic number, because the mean of its divisors is an integer number (7592625).

Almost surely, 2^164640384 is an apocalyptic number.

It is an amenable number.

164640384 is an abundant number, since it is smaller than the sum of its proper divisors (321287616).

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

164640384 is an equidigital number, since it uses as much as digits as its factorization.

164640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47662 (or 47644 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 164640384 is about 12831.2269093801. The cubic root of 164640384 is about 548.0818958714.

The spelling of 164640384 in words is "one hundred sixty-four million, six hundred forty thousand, three hundred eighty-four".