166886280 has 384 divisors, whose sum is σ = 653028480. Its totient is φ = 36495360.

The previous prime is 166886267. The next prime is 166886309. The reversal of 166886280 is 82688661.

166886280 is a `hidden beast` number, since 16 + 6 + 8 + 8 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2490807 + ... + 2490873.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^166886280 is an apocalyptic number.

166886280 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 166886280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326514240).

166886280 is an abundant number, since it is smaller than the sum of its proper divisors (486142200).

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

166886280 is a wasteful number, since it uses less digits than its factorization.

166886280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 166886280 is about 12918.4472751179. The cubic root of 166886280 is about 550.5628178086.

It can be divided in two parts, 166 and 886280, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 166886280 in words is "one hundred sixty-six million, eight hundred eighty-six thousand, two hundred eighty".