166396960 has 48 divisors (see below), whose sum is σ = 394618392. Its totient is φ = 66304000.

The previous prime is 166396957. The next prime is 166396961. The reversal of 166396960 is 69693661.

It can be written as a sum of positive squares in 4 ways, for example, as 138391696 + 28005264 = 11764^2 + 5292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 166396960.

It is not an unprimeable number, because it can be changed into a prime (166396961) 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, 43110 + ... + 46810.

Almost surely, 2^166396960 is an apocalyptic number.

166396960 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 166396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197309196).

166396960 is an abundant number, since it is smaller than the sum of its proper divisors (228221432).

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

166396960 is a wasteful number, since it uses less digits than its factorization.

166396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 46.

The square root of 166396960 is about 12899.4945637416. The cubic root of 166396960 is about 550.0241972825.

The spelling of 166396960 in words is "one hundred sixty-six million, three hundred ninety-six thousand, nine hundred sixty".