164162304 has 108 divisors (see below), whose sum is σ = 484620136. Its totient is φ = 53415936.

The previous prime is 164162291. The next prime is 164162309. The reversal of 164162304 is 403261461.

164162304 is a `hidden beast` number, since 16 + 416 + 230 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (164162309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98244 + ... + 99900.

Almost surely, 2^164162304 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 164162304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242310068).

164162304 is an abundant number, since it is smaller than the sum of its proper divisors (320457832).

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

164162304 is a wasteful number, since it uses less digits than its factorization.

164162304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164162304 is about 12812.5838143600. The cubic root of 164162304 is about 547.5508778640.

The spelling of 164162304 in words is "one hundred sixty-four million, one hundred sixty-two thousand, three hundred four".