164939328 has 70 divisors (see below), whose sum is σ = 488947206. Its totient is φ = 54978048.

The previous prime is 164939317. The next prime is 164939329. The reversal of 164939328 is 823939461.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 160579584 + 4359744 = 12672^2 + 2088^2 .

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 (164939329) 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 9 ways as a sum of consecutive naturals, for example, 10725 + ... + 21092.

Almost surely, 2^164939328 is an apocalyptic number.

164939328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164939328 is an abundant number, since it is smaller than the sum of its proper divisors (324007878).

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

164939328 is an equidigital number, since it uses as much as digits as its factorization.

164939328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31841 (or 31822 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 164939328 is about 12842.8707071277. The cubic root of 164939328 is about 548.4134198939.

The spelling of 164939328 in words is "one hundred sixty-four million, nine hundred thirty-nine thousand, three hundred twenty-eight".