166887820 has 48 divisors (see below), whose sum is σ = 383691168. Its totient is φ = 60469760.

The previous prime is 166887751. The next prime is 166887857. The reversal of 166887820 is 28788661.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68544 + ... + 70936.

It is an arithmetic number, because the mean of its divisors is an integer number (7993566).

Almost surely, 2^166887820 is an apocalyptic number.

166887820 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 166887820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191845584).

166887820 is an abundant number, since it is smaller than the sum of its proper divisors (216803348).

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

166887820 is a wasteful number, since it uses less digits than its factorization.

166887820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 166887820 is about 12918.5068796669. The cubic root of 166887820 is about 550.5645113054.

The spelling of 166887820 in words is "one hundred sixty-six million, eight hundred eighty-seven thousand, eight hundred twenty".