164117304 has 96 divisors (see below), whose sum is σ = 486005520. Its totient is φ = 49724928.

The previous prime is 164117263. The next prime is 164117321. The reversal of 164117304 is 403711461.

It is a happy number.

164117304 is a `hidden beast` number, since 1 + 641 + 17 + 3 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61404 + ... + 64020.

Almost surely, 2^164117304 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 164117304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243002760).

164117304 is an abundant number, since it is smaller than the sum of its proper divisors (321888216).

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

164117304 is a wasteful number, since it uses less digits than its factorization.

164117304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 164117304 is about 12810.8276079260. The cubic root of 164117304 is about 547.5008419328.

Adding to 164117304 its reverse (403711461), we get a palindrome (567828765).

The spelling of 164117304 in words is "one hundred sixty-four million, one hundred seventeen thousand, three hundred four".