164793960 has 128 divisors (see below), whose sum is σ = 559872000. Its totient is φ = 43100928.

The previous prime is 164793929. The next prime is 164793983. The reversal of 164793960 is 69397461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55801 + ... + 58679.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2^164793960 is an apocalyptic number.

164793960 is a gapful number since it is divisible by the number (10) 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 164793960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279936000).

164793960 is an abundant number, since it is smaller than the sum of its proper divisors (395078040).

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

164793960 is a wasteful number, since it uses less digits than its factorization.

164793960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 164793960 is about 12837.2099772497. The cubic root of 164793960 is about 548.2522592312.

The spelling of 164793960 in words is "one hundred sixty-four million, seven hundred ninety-three thousand, nine hundred sixty".