164278080 has 84 divisors (see below), whose sum is σ = 565058052. Its totient is φ = 43806720.

The previous prime is 164278057. The next prime is 164278109. The reversal of 164278080 is 80872461.

164278080 is a `hidden beast` number, since 1 + 642 + 7 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 103063104 = 7824^2 + 10152^2 .

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 11 ways as a sum of consecutive naturals, for example, 25641 + ... + 31400.

Almost surely, 2^164278080 is an apocalyptic number.

164278080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164278080 is an abundant number, since it is smaller than the sum of its proper divisors (400779972).

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

164278080 is a wasteful number, since it uses less digits than its factorization.

164278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57064 (or 57051 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 164278080 is about 12817.1010762965. The cubic root of 164278080 is about 547.6795682961.

The spelling of 164278080 in words is "one hundred sixty-four million, two hundred seventy-eight thousand, eighty".