166362768 has 160 divisors (see below), whose sum is σ = 561214080. Its totient is φ = 46517760.

The previous prime is 166362701. The next prime is 166362787. The reversal of 166362768 is 867263661.

166362768 is a `hidden beast` number, since 1 + 6 + 636 + 2 + 7 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60430 + ... + 63122.

It is an arithmetic number, because the mean of its divisors is an integer number (3507588).

Almost surely, 2^166362768 is an apocalyptic number.

166362768 is a gapful number since it is divisible by the number (18) 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 166362768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280607040).

166362768 is an abundant number, since it is smaller than the sum of its proper divisors (394851312).

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

166362768 is a wasteful number, since it uses less digits than its factorization.

166362768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2722 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 166362768 is about 12898.1691724058. The cubic root of 166362768 is about 549.9865208818.

The spelling of 166362768 in words is "one hundred sixty-six million, three hundred sixty-two thousand, seven hundred sixty-eight".