166888960 has 160 divisors (see below), whose sum is σ = 467470080. Its totient is φ = 55959552.

The previous prime is 166888937. The next prime is 166888961. The reversal of 166888960 is 69888661.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 166888898 and 166888907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166888961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200571 + ... + 1200709.

It is an arithmetic number, because the mean of its divisors is an integer number (2921688).

Almost surely, 2^166888960 is an apocalyptic number.

166888960 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 166888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233735040).

166888960 is an abundant number, since it is smaller than the sum of its proper divisors (300581120).

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

166888960 is an equidigital number, since it uses as much as digits as its factorization.

166888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 166888960 is about 12918.5510023377. The cubic root of 166888960 is about 550.5657649262.

The spelling of 166888960 in words is "one hundred sixty-six million, eight hundred eighty-eight thousand, nine hundred sixty".