166403160 has 640 divisors, whose sum is σ = 752716800. Its totient is φ = 31933440.

The previous prime is 166403129. The next prime is 166403173. The reversal of 166403160 is 61304661.

166403160 is a `hidden beast` number, since 1 + 6 + 640 + 3 + 16 + 0 = 666.

166403160 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5738026 + ... + 5738054.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120).

Almost surely, 2^166403160 is an apocalyptic number.

166403160 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 166403160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376358400).

166403160 is an abundant number, since it is smaller than the sum of its proper divisors (586313640).

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

166403160 is a wasteful number, since it uses less digits than its factorization.

166403160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166403160 is about 12899.7348809966. The cubic root of 166403160 is about 550.0310285525.

The spelling of 166403160 in words is "one hundred sixty-six million, four hundred three thousand, one hundred sixty".