166086090 has 48 divisors (see below), whose sum is σ = 457229448. Its totient is φ = 41683968.

The previous prime is 166086077. The next prime is 166086091. The reversal of 166086090 is 90680661.

166086090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 152843769 + 13242321 = 12363^2 + 3639^2 .

It is not an unprimeable number, because it can be changed into a prime (166086091) 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, 52747 + ... + 55806.

Almost surely, 2^166086090 is an apocalyptic number.

166086090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166086090 is an abundant number, since it is smaller than the sum of its proper divisors (291143358).

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

166086090 is a wasteful number, since it uses less digits than its factorization.

166086090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108583 (or 108580 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 166086090 is about 12887.4392336104. The cubic root of 166086090 is about 549.6814574191.

The spelling of 166086090 in words is "one hundred sixty-six million, eighty-six thousand, ninety".