166008960 has 256 divisors, whose sum is σ = 634032000. Its totient is φ = 40808448.

The previous prime is 166008943. The next prime is 166008971. The reversal of 166008960 is 69800661.

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 31 ways as a sum of consecutive naturals, for example, 224271 + ... + 225009.

Almost surely, 2^166008960 is an apocalyptic number.

166008960 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 166008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317016000).

166008960 is an abundant number, since it is smaller than the sum of its proper divisors (468023040).

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

166008960 is a wasteful number, since it uses less digits than its factorization.

166008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 762 counting only the distinct ones).

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

The square root of 166008960 is about 12884.4464374687. The cubic root of 166008960 is about 549.5963539736.

The spelling of 166008960 in words is "one hundred sixty-six million, eight thousand, nine hundred sixty".