164204304 has 80 divisors (see below), whose sum is σ = 464595264. Its totient is φ = 49561600.

The previous prime is 164204297. The next prime is 164204311. The reversal of 164204304 is 403402461.

It is an interprime number because it is at equal distance from previous prime (164204297) and next prime (164204311).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185944 + ... + 186824.

Almost surely, 2^164204304 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 164204304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232297632).

164204304 is an abundant number, since it is smaller than the sum of its proper divisors (300390960).

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

164204304 is a wasteful number, since it uses less digits than its factorization.

164204304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 164204304 is about 12814.2227232088. Note that the first 3 decimals coincide. The cubic root of 164204304 is about 547.5975698173.

Adding to 164204304 its reverse (403402461), we get a palindrome (567606765).

The spelling of 164204304 in words is "one hundred sixty-four million, two hundred four thousand, three hundred four".