166098800 has 120 divisors (see below), whose sum is σ = 460449696. Its totient is φ = 56401920.

The previous prime is 166098797. The next prime is 166098811. The reversal of 166098800 is 8890661.

166098800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166098800² = 55177622722880000, which contains 22 as substring.

It is a congruent number.

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, 383384 + ... + 383816.

Almost surely, 2^166098800 is an apocalyptic number.

166098800 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 166098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230224848).

166098800 is an abundant number, since it is smaller than the sum of its proper divisors (294350896).

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

166098800 is a wasteful number, since it uses less digits than its factorization.

166098800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 166098800 is about 12887.9323399838. The cubic root of 166098800 is about 549.6954788083.

The spelling of 166098800 in words is "one hundred sixty-six million, ninety-eight thousand, eight hundred".