166566400 has 360 divisors, whose sum is σ = 557133984. Its totient is φ = 47923200.

The previous prime is 166566397. The next prime is 166566409. The reversal of 166566400 is 4665661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166566409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12812794 + ... + 12812806.

Almost surely, 2^166566400 is an apocalyptic number.

166566400 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 166566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278566992).

166566400 is an abundant number, since it is smaller than the sum of its proper divisors (390567584).

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

166566400 is a wasteful number, since it uses less digits than its factorization.

166566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 166566400 is about 12906.0605918305. The cubic root of 166566400 is about 550.2108282650.

The spelling of 166566400 in words is "one hundred sixty-six million, five hundred sixty-six thousand, four hundred".