164983160 has 64 divisors (see below), whose sum is σ = 382648320. Its totient is φ = 63987840.

The previous prime is 164983157. The next prime is 164983171. The reversal of 164983160 is 61389461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238415 + ... + 239105.

It is an arithmetic number, because the mean of its divisors is an integer number (5978880).

Almost surely, 2^164983160 is an apocalyptic number.

164983160 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 164983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191324160).

164983160 is an abundant number, since it is smaller than the sum of its proper divisors (217665160).

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

164983160 is a wasteful number, since it uses less digits than its factorization.

164983160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 164983160 is about 12844.5770658282. The cubic root of 164983160 is about 548.4619951857.

The spelling of 164983160 in words is "one hundred sixty-four million, nine hundred eighty-three thousand, one hundred sixty".