166730400 has 360 divisors, whose sum is σ = 635209344. Its totient is φ = 42508800.

The previous prime is 166730383. The next prime is 166730411. The reversal of 166730400 is 4037661.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 2008759 + ... + 2008841.

Almost surely, 2^166730400 is an apocalyptic number.

166730400 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 166730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317604672).

166730400 is an abundant number, since it is smaller than the sum of its proper divisors (468478944).

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

166730400 is a wasteful number, since it uses less digits than its factorization.

166730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 166730400 is about 12912.4126328119. The cubic root of 166730400 is about 550.3913468195.

The spelling of 166730400 in words is "one hundred sixty-six million, seven hundred thirty thousand, four hundred".