166987200 has 168 divisors, whose sum is σ = 577006720. Its totient is φ = 42163200.

The previous prime is 166987129. The next prime is 166987231. The reversal of 166987200 is 2789661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90285 + ... + 92115.

Almost surely, 2^166987200 is an apocalyptic number.

166987200 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 166987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288503360).

166987200 is an abundant number, since it is smaller than the sum of its proper divisors (410019520).

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

166987200 is a wasteful number, since it uses less digits than its factorization.

166987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 166987200 is about 12922.3527269611. The cubic root of 166987200 is about 550.6737748094.

The spelling of 166987200 in words is "one hundred sixty-six million, nine hundred eighty-seven thousand, two hundred".