164918880 has 144 divisors (see below), whose sum is σ = 643222944. Its totient is φ = 37693440.

The previous prime is 164918863. The next prime is 164918891. The reversal of 164918880 is 88819461.

164918880 is a `hidden beast` number, since 1 + 6 + 491 + 88 + 80 = 666.

164918880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 1900 + ... + 18260.

It is an arithmetic number, because the mean of its divisors is an integer number (4466826).

Almost surely, 2^164918880 is an apocalyptic number.

164918880 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 164918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321611472).

164918880 is an abundant number, since it is smaller than the sum of its proper divisors (478304064).

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

164918880 is a wasteful number, since it uses less digits than its factorization.

164918880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16389 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 164918880 is about 12842.0745987555. The cubic root of 164918880 is about 548.3907561641.

The spelling of 164918880 in words is "one hundred sixty-four million, nine hundred eighteen thousand, eight hundred eighty".