16397200 has 30 divisors (see below), whose sum is σ = 39395234. Its totient is φ = 6558720.

The previous prime is 16397191. The next prime is 16397207. The reversal of 16397200 is 279361.

16397200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 16353936 = 208^2 + 4044^2 .

It is not an unprimeable number, because it can be changed into a prime (16397207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20097 + ... + 20896.

Almost surely, 2^16397200 is an apocalyptic number.

16397200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16397200 is an abundant number, since it is smaller than the sum of its proper divisors (22998034).

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

16397200 is a wasteful number, since it uses less digits than its factorization.

16397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41011 (or 41000 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 16397200 is about 4049.3456261475. The cubic root of 16397200 is about 254.0523586443.

The spelling of 16397200 in words is "sixteen million, three hundred ninety-seven thousand, two hundred".