166800160 has 48 divisors (see below), whose sum is σ = 397789056. Its totient is φ = 66089728.

The previous prime is 166800143. The next prime is 166800167. The reversal of 166800160 is 61008661.

It is not an unprimeable number, because it can be changed into a prime (166800167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12249 + ... + 21991.

It is an arithmetic number, because the mean of its divisors is an integer number (8287272).

Almost surely, 2^166800160 is an apocalyptic number.

166800160 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 166800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198894528).

166800160 is an abundant number, since it is smaller than the sum of its proper divisors (230988896).

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

166800160 is a wasteful number, since it uses less digits than its factorization.

166800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 166800160 is about 12915.1136270650. The cubic root of 166800160 is about 550.4680973636.

The spelling of 166800160 in words is "one hundred sixty-six million, eight hundred thousand, one hundred sixty".