166468800 has 168 divisors, whose sum is σ = 554329600. Its totient is φ = 43729920.

The previous prime is 166468789. The next prime is 166468847. The reversal of 166468800 is 8864661.

It is a super-2 number, since 2×166468800² = 55423722746880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378981 + ... + 379419.

Almost surely, 2^166468800 is an apocalyptic number.

166468800 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 166468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277164800).

166468800 is an abundant number, since it is smaller than the sum of its proper divisors (387860800).

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

166468800 is a wasteful number, since it uses less digits than its factorization.

166468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 166468800 is about 12902.2788684790. The cubic root of 166468800 is about 550.1033414631.

The spelling of 166468800 in words is "one hundred sixty-six million, four hundred sixty-eight thousand, eight hundred".