16660800 has 252 divisors, whose sum is σ = 64488060. Its totient is φ = 4055040.

The previous prime is 16660793. The next prime is 16660807. The reversal of 16660800 is 806661.

16660800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16660793) and next prime (16660807).

It can be written as a sum of positive squares in 6 ways, for example, as 3873024 + 12787776 = 1968^2 + 3576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16660807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187156 + ... + 187244.

It is an arithmetic number, because the mean of its divisors is an integer number (255905).

Almost surely, 2^16660800 is an apocalyptic number.

16660800 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 16660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32244030).

16660800 is an abundant number, since it is smaller than the sum of its proper divisors (47827260).

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

16660800 is a wasteful number, since it uses less digits than its factorization.

16660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16660800 is about 4081.7643244068. The cubic root of 16660800 is about 255.4065027339.

The spelling of 16660800 in words is "sixteen million, six hundred sixty thousand, eight hundred".