166304292 has 96 divisors (see below), whose sum is σ = 486657024. Its totient is φ = 42940800.

The previous prime is 166304279. The next prime is 166304297. The reversal of 166304292 is 292403661.

166304292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (166304297) 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 31 ways as a sum of consecutive naturals, for example, 194538 + ... + 195390.

It is an arithmetic number, because the mean of its divisors is an integer number (5069344).

Almost surely, 2^166304292 is an apocalyptic number.

166304292 is a gapful number since it is divisible by the number (12) 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 166304292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243328512).

166304292 is an abundant number, since it is smaller than the sum of its proper divisors (320352732).

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

166304292 is a wasteful number, since it uses less digits than its factorization.

166304292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 166304292 is about 12895.9021398272. The cubic root of 166304292 is about 549.9220738081.

The spelling of 166304292 in words is "one hundred sixty-six million, three hundred four thousand, two hundred ninety-two".