166086900 has 216 divisors, whose sum is σ = 610419264. Its totient is φ = 36979200.

The previous prime is 166086839. The next prime is 166086911. The reversal of 166086900 is 9680661.

166086900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166086900² = 55169716703220000, which contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257979 + ... + 258621.

Almost surely, 2^166086900 is an apocalyptic number.

166086900 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 166086900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305209632).

166086900 is an abundant number, since it is smaller than the sum of its proper divisors (444332364).

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

166086900 is a wasteful number, since it uses less digits than its factorization.

166086900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

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

The square root of 166086900 is about 12887.4706595204. The cubic root of 166086900 is about 549.6823510144.

The spelling of 166086900 in words is "one hundred sixty-six million, eighty-six thousand, nine hundred".