164120832 has 54 divisors (see below), whose sum is σ = 473207462. Its totient is φ = 54706176.

The previous prime is 164120819. The next prime is 164120833. The reversal of 164120832 is 238021461.

It can be written as a sum of positive squares in only one way, i.e., 152176896 + 11943936 = 12336^2 + 3456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164120796 and 164120805.

It is not an unprimeable number, because it can be changed into a prime (164120833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33313 + ... + 37920.

Almost surely, 2^164120832 is an apocalyptic number.

164120832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164120832 is an abundant number, since it is smaller than the sum of its proper divisors (309086630).

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

164120832 is an equidigital number, since it uses as much as digits as its factorization.

164120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71255 (or 71238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164120832 is about 12810.9653032080. The cubic root of 164120832 is about 547.5047650802.

The spelling of 164120832 in words is "one hundred sixty-four million, one hundred twenty thousand, eight hundred thirty-two".