16396800 has 240 divisors, whose sum is σ = 62918592. Its totient is φ = 3686400.

The previous prime is 16396771. The next prime is 16396801. The reversal of 16396800 is 869361.

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16396801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268770 + ... + 268830.

Almost surely, 2^16396800 is an apocalyptic number.

16396800 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 16396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31459296).

16396800 is an abundant number, since it is smaller than the sum of its proper divisors (46521792).

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

16396800 is an equidigital number, since it uses as much as digits as its factorization.

16396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 16396800 is about 4049.2962351500. The cubic root of 16396800 is about 254.0502928085.

The spelling of 16396800 in words is "sixteen million, three hundred ninety-six thousand, eight hundred".