166406292 has 192 divisors, whose sum is σ = 495801600. Its totient is φ = 47900160.

The previous prime is 166406257. The next prime is 166406299. The reversal of 166406292 is 292604661.

166406292 is a `hidden beast` number, since 1 + 6 + 640 + 6 + 2 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166406299) 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 63 ways as a sum of consecutive naturals, for example, 2483643 + ... + 2483709.

It is an arithmetic number, because the mean of its divisors is an integer number (2582300).

Almost surely, 2^166406292 is an apocalyptic number.

166406292 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 166406292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247900800).

166406292 is an abundant number, since it is smaller than the sum of its proper divisors (329395308).

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

166406292 is a wasteful number, since it uses less digits than its factorization.

166406292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166406292 is about 12899.8562782691. The cubic root of 166406292 is about 550.0344793811.

The spelling of 166406292 in words is "one hundred sixty-six million, four hundred six thousand, two hundred ninety-two".