166088096 has 48 divisors (see below), whose sum is σ = 349521480. Its totient is φ = 77414400.

The previous prime is 166088093. The next prime is 166088123. The reversal of 166088096 is 690880661.

166088096 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 162919696 + 3168400 = 12764^2 + 1780^2 .

It is not an unprimeable number, because it can be changed into a prime (166088093) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57896 + ... + 60696.

Almost surely, 2^166088096 is an apocalyptic number.

166088096 is a gapful number since it is divisible by the number (16) 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 166088096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174760740).

166088096 is an abundant number, since it is smaller than the sum of its proper divisors (183433384).

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

166088096 is a wasteful number, since it uses less digits than its factorization.

166088096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 166088096 is about 12887.5170610944. The cubic root of 166088096 is about 549.6836704412.

The spelling of 166088096 in words is "one hundred sixty-six million, eighty-eight thousand, ninety-six".