166072960 has 64 divisors (see below), whose sum is σ = 406765800. Its totient is φ = 64798720.

The previous prime is 166072913. The next prime is 166072969. The reversal of 166072960 is 69270661.

It can be written as a sum of positive squares in 4 ways, for example, as 112021056 + 54051904 = 10584^2 + 7352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (166072969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23076 + ... + 29404.

Almost surely, 2^166072960 is an apocalyptic number.

166072960 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 166072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203382900).

166072960 is an abundant number, since it is smaller than the sum of its proper divisors (240692840).

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

166072960 is an equidigital number, since it uses as much as digits as its factorization.

166072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 166072960 is about 12886.9298127987. The cubic root of 166072960 is about 549.6669719441. Note that the first 3 decimals are identical.

The spelling of 166072960 in words is "one hundred sixty-six million, seventy-two thousand, nine hundred sixty".