166808400 has 120 divisors (see below), whose sum is σ = 582965664. Its totient is φ = 40435200.

The previous prime is 166808393. The next prime is 166808417. The reversal of 166808400 is 4808661.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6882 + ... + 19518.

Almost surely, 2^166808400 is an apocalyptic number.

166808400 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 166808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291482832).

166808400 is an abundant number, since it is smaller than the sum of its proper divisors (416157264).

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

166808400 is a wasteful number, since it uses less digits than its factorization.

166808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 166808400 is about 12915.4326292231. The cubic root of 166808400 is about 550.4771616683.

The spelling of 166808400 in words is "one hundred sixty-six million, eight hundred eight thousand, four hundred".