166007880 has 112 divisors (see below), whose sum is σ = 560118780. Its totient is φ = 44260992.

The previous prime is 166007857. The next prime is 166007899. The reversal of 166007880 is 88700661.

It can be written as a sum of positive squares in 2 ways, for example, as 152917956 + 13089924 = 12366^2 + 3618^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26314 + ... + 32006.

Almost surely, 2^166007880 is an apocalyptic number.

166007880 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 166007880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280059390).

166007880 is an abundant number, since it is smaller than the sum of its proper divisors (394110900).

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

166007880 is an equidigital number, since it uses as much as digits as its factorization.

166007880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 166007880 is about 12884.4045264032. The cubic root of 166007880 is about 549.5951621397.

The spelling of 166007880 in words is "one hundred sixty-six million, seven thousand, eight hundred eighty".