166408992 has 240 divisors, whose sum is σ = 536659200. Its totient is φ = 50388480.

The previous prime is 166408951. The next prime is 166409003. The reversal of 166408992 is 299804661.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 1526634 + ... + 1526742.

It is an arithmetic number, because the mean of its divisors is an integer number (2236080).

Almost surely, 2^166408992 is an apocalyptic number.

166408992 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 166408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268329600).

166408992 is an abundant number, since it is smaller than the sum of its proper divisors (370250208).

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

166408992 is a wasteful number, since it uses less digits than its factorization.

166408992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 166408992 is about 12899.9609301734. The cubic root of 166408992 is about 550.0374541987.

The spelling of 166408992 in words is "one hundred sixty-six million, four hundred eight thousand, nine hundred ninety-two".