166987800 has 288 divisors, whose sum is σ = 664466400. Its totient is φ = 36771840.

The previous prime is 166987781. The next prime is 166987801. The reversal of 166987800 is 8789661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166987801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365172 + ... + 365628.

It is an arithmetic number, because the mean of its divisors is an integer number (2307175).

Almost surely, 2^166987800 is an apocalyptic number.

166987800 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 166987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332233200).

166987800 is an abundant number, since it is smaller than the sum of its proper divisors (497478600).

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

166987800 is a wasteful number, since it uses less digits than its factorization.

166987800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 166987800 is about 12922.3759425270. The cubic root of 166987800 is about 550.6744343487.

The spelling of 166987800 in words is "one hundred sixty-six million, nine hundred eighty-seven thousand, eight hundred".