166406760 has 288 divisors, whose sum is σ = 618082920. Its totient is φ = 38568960.

The previous prime is 166406759. The next prime is 166406777. The reversal of 166406760 is 67604661.

166406760 is a `hidden beast` number, since 1 + 6 + 640 + 6 + 7 + 6 + 0 = 666.

166406760 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 137311524 + 29095236 = 11718^2 + 5394^2 .

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, 4497462 + ... + 4497498.

Almost surely, 2^166406760 is an apocalyptic number.

166406760 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 166406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309041460).

166406760 is an abundant number, since it is smaller than the sum of its proper divisors (451676160).

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

166406760 is a wasteful number, since it uses less digits than its factorization.

166406760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 166406760 is about 12899.8744179934. The cubic root of 166406760 is about 550.0349950185.

The spelling of 166406760 in words is "one hundred sixty-six million, four hundred six thousand, seven hundred sixty".