166311880 has 96 divisors (see below), whose sum is σ = 443786040. Its totient is φ = 55910400.

The previous prime is 166311877. The next prime is 166311881. The reversal of 166311880 is 88113661.

166311880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 166255236 + 56644 = 12894^2 + 238^2 .

It is not an unprimeable number, because it can be changed into a prime (166311881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103080 + ... + 104680.

Almost surely, 2^166311880 is an apocalyptic number.

166311880 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 166311880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221893020).

166311880 is an abundant number, since it is smaller than the sum of its proper divisors (277474160).

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

166311880 is a wasteful number, since it uses less digits than its factorization.

166311880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 166311880 is about 12896.1963384558. The cubic root of 166311880 is about 549.9304374833.

The spelling of 166311880 in words is "one hundred sixty-six million, three hundred eleven thousand, eight hundred eighty".