164983120 has 20 divisors (see below), whose sum is σ = 383585940. Its totient is φ = 65993216.

The previous prime is 164983097. The next prime is 164983121. The reversal of 164983120 is 21389461.

It can be written as a sum of positive squares in 2 ways, for example, as 84198976 + 80784144 = 9176^2 + 8988^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164983121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1031065 + ... + 1031224.

It is an arithmetic number, because the mean of its divisors is an integer number (19179297).

Almost surely, 2^164983120 is an apocalyptic number.

164983120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164983120 is an abundant number, since it is smaller than the sum of its proper divisors (218602820).

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

164983120 is a wasteful number, since it uses less digits than its factorization.

164983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062302 (or 2062296 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 164983120 is about 12844.5755087508. The cubic root of 164983120 is about 548.4619508610.

The spelling of 164983120 in words is "one hundred sixty-four million, nine hundred eighty-three thousand, one hundred twenty".