166813920 has 576 divisors, whose sum is σ = 748500480. Its totient is φ = 32845824.

The previous prime is 166813909. The next prime is 166813943. The reversal of 166813920 is 29318661.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489727 + ... + 2489793.

It is an arithmetic number, because the mean of its divisors is an integer number (1299480).

Almost surely, 2^166813920 is an apocalyptic number.

166813920 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 166813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374250240).

166813920 is an abundant number, since it is smaller than the sum of its proper divisors (581686560).

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

166813920 is a wasteful number, since it uses less digits than its factorization.

166813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 166813920 is about 12915.6463252909. The cubic root of 166813920 is about 550.4832337055.

The spelling of 166813920 in words is "one hundred sixty-six million, eight hundred thirteen thousand, nine hundred twenty".