166351760 has 60 divisors (see below), whose sum is σ = 396751764. Its totient is φ = 64865280.

The previous prime is 166351751. The next prime is 166351771. The reversal of 166351760 is 67153661.

It is a happy number.

166351760 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 6 ways, for example, as 38390416 + 127961344 = 6196^2 + 11312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 166351760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133862 + ... + 135098.

Almost surely, 2^166351760 is an apocalyptic number.

166351760 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 166351760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198375882).

166351760 is an abundant number, since it is smaller than the sum of its proper divisors (230400004).

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

166351760 is a wasteful number, since it uses less digits than its factorization.

166351760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 166351760 is about 12897.7424381168. The cubic root of 166351760 is about 549.9743899921.

The spelling of 166351760 in words is "one hundred sixty-six million, three hundred fifty-one thousand, seven hundred sixty".