166416400 has 60 divisors (see below), whose sum is σ = 423351252. Its totient is φ = 62648320.

The previous prime is 166416353. The next prime is 166416433. The reversal of 166416400 is 4614661.

It can be written as a sum of positive squares in 6 ways, for example, as 4210704 + 162205696 = 2052^2 + 12736^2 .

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 11 ways as a sum of consecutive naturals, for example, 5437 + ... + 19036.

Almost surely, 2^166416400 is an apocalyptic number.

166416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166416400 is an abundant number, since it is smaller than the sum of its proper divisors (256934852).

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

166416400 is a wasteful number, since it uses less digits than its factorization.

166416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24508 (or 24497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 166416400 is about 12900.2480596305. The cubic root of 166416400 is about 550.0456160513.

It can be divided in two parts, 16641 and 6400, that multiplied together give a square (106502400 = 10320²).

The spelling of 166416400 in words is "one hundred sixty-six million, four hundred sixteen thousand, four hundred".