164671080 has 256 divisors, whose sum is σ = 596090880. Its totient is φ = 35610624.

The previous prime is 164671069. The next prime is 164671103. The reversal of 164671080 is 80176461.

It is a happy number.

164671080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1697592 + ... + 1697688.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^164671080 is an apocalyptic number.

164671080 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 164671080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298045440).

164671080 is an abundant number, since it is smaller than the sum of its proper divisors (431419800).

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

164671080 is a wasteful number, since it uses less digits than its factorization.

164671080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 164671080 is about 12832.4229980156. The cubic root of 164671080 is about 548.1159557134.

It can be divided in two parts, 16 and 4671080, that added together give a triangular number (4671096 = T₃₀₅₆).

The spelling of 164671080 in words is "one hundred sixty-four million, six hundred seventy-one thousand, eighty".