166416800 has 72 divisors (see below), whose sum is σ = 443221632. Its totient is φ = 60512000.

The previous prime is 166416797. The next prime is 166416847. The reversal of 166416800 is 8614661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 656 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (6155856).

Almost surely, 2^166416800 is an apocalyptic number.

166416800 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 166416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221610816).

166416800 is an abundant number, since it is smaller than the sum of its proper divisors (276804832).

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

166416800 is a wasteful number, since it uses less digits than its factorization.

166416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18942 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 166416800 is about 12900.2635631990. The cubic root of 166416800 is about 550.0460567492.

The spelling of 166416800 in words is "one hundred sixty-six million, four hundred sixteen thousand, eight hundred".