164047104 has 108 divisors (see below), whose sum is σ = 509464956. Its totient is φ = 50466816.

The previous prime is 164047099. The next prime is 164047111. The reversal of 164047104 is 401740461.

164047104 is a `hidden beast` number, since 1 + 640 + 4 + 7 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111513600 + 52533504 = 10560^2 + 7248^2 .

It is a super-2 number, since 2×164047104² = 53822904661573632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27214 + ... + 32690.

Almost surely, 2^164047104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254732478).

164047104 is an abundant number, since it is smaller than the sum of its proper divisors (345417852).

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

164047104 is a wasteful number, since it uses less digits than its factorization.

164047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5495 counting only the distinct ones).

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

The square root of 164047104 is about 12808.0874450481. The cubic root of 164047104 is about 547.4227676134.

Adding to 164047104 its reverse (401740461), we get a palindrome (565787565).

The spelling of 164047104 in words is "one hundred sixty-four million, forty-seven thousand, one hundred four".