166902120 has 384 divisors, whose sum is σ = 704471040. Its totient is φ = 34525440.

The previous prime is 166902119. The next prime is 166902133. The reversal of 166902120 is 21209661.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748329 + ... + 748551.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^166902120 is an apocalyptic number.

166902120 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 166902120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

166902120 is an abundant number, since it is smaller than the sum of its proper divisors (537568920).

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

166902120 is a wasteful number, since it uses less digits than its factorization.

166902120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 166902120 is about 12919.0603373465. The cubic root of 166902120 is about 550.5802361351.

The spelling of 166902120 in words is "one hundred sixty-six million, nine hundred two thousand, one hundred twenty".