164407104 has 56 divisors (see below), whose sum is σ = 483331520. Its totient is φ = 54801792.

The previous prime is 164407097. The next prime is 164407123. The reversal of 164407104 is 401704461.

164407104 is a `hidden beast` number, since 1 + 644 + 0 + 7 + 10 + 4 = 666.

It is a super-3 number, since 3×164407104³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 45844 + ... + 49299.

It is an arithmetic number, because the mean of its divisors is an integer number (8630920).

Almost surely, 2^164407104 is an apocalyptic number.

It is an amenable number.

164407104 is an abundant number, since it is smaller than the sum of its proper divisors (318924416).

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

164407104 is an equidigital number, since it uses as much as digits as its factorization.

164407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95164 (or 95148 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 164407104 is about 12822.1333638361. The cubic root of 164407104 is about 547.8229132814.

The spelling of 164407104 in words is "one hundred sixty-four million, four hundred seven thousand, one hundred four".