164944080 has 160 divisors (see below), whose sum is σ = 649363200. Its totient is φ = 37698048.

The previous prime is 164944049. The next prime is 164944123. The reversal of 164944080 is 80449461.

It is a happy number.

164944080 is a `hidden beast` number, since 1 + 649 + 4 + 4 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 9666 + ... + 20574.

It is an arithmetic number, because the mean of its divisors is an integer number (4058520).

Almost surely, 2^164944080 is an apocalyptic number.

164944080 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 164944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324681600).

164944080 is an abundant number, since it is smaller than the sum of its proper divisors (484419120).

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

164944080 is a wasteful number, since it uses less digits than its factorization.

164944080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10926 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 164944080 is about 12843.0557111616. The cubic root of 164944080 is about 548.4186865487.

The spelling of 164944080 in words is "one hundred sixty-four million, nine hundred forty-four thousand, eighty".