164494080 has 216 divisors, whose sum is σ = 578738160. Its totient is φ = 43130880.

The previous prime is 164494079. The next prime is 164494087. The reversal of 164494080 is 80494461.

It is a happy number.

164494080 is a `hidden beast` number, since 1 + 644 + 9 + 4 + 0 + 8 + 0 = 666.

164494080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (164494087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255615 + ... + 1255745.

Almost surely, 2^164494080 is an apocalyptic number.

164494080 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 164494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289369080).

164494080 is an abundant number, since it is smaller than the sum of its proper divisors (414244080).

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

164494080 is a wasteful number, since it uses less digits than its factorization.

164494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

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

The square root of 164494080 is about 12825.5245506763. The cubic root of 164494080 is about 547.9195008472.

The spelling of 164494080 in words is "one hundred sixty-four million, four hundred ninety-four thousand, eighty".