164328192 has 216 divisors, whose sum is σ = 566302464. Its totient is φ = 44808192.

The previous prime is 164328149. The next prime is 164328193. The reversal of 164328192 is 291823461.

164328192 is a `hidden beast` number, since 1 + 643 + 2 + 8 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164328193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370723 + ... + 371165.

Almost surely, 2^164328192 is an apocalyptic number.

164328192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283151232).

164328192 is an abundant number, since it is smaller than the sum of its proper divisors (401974272).

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

164328192 is a wasteful number, since it uses less digits than its factorization.

164328192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 478 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 164328192 is about 12819.0558154647. The cubic root of 164328192 is about 547.7352513759.

The spelling of 164328192 in words is "one hundred sixty-four million, three hundred twenty-eight thousand, one hundred ninety-two".