16799200 has 144 divisors (see below), whose sum is σ = 47246976. Its totient is φ = 5772800.

The previous prime is 16799191. The next prime is 16799227. The reversal of 16799200 is 299761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202359 + ... + 202441.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^16799200 is an apocalyptic number.

16799200 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 16799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623488).

16799200 is an abundant number, since it is smaller than the sum of its proper divisors (30447776).

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

16799200 is a wasteful number, since it uses less digits than its factorization.

16799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 16799200 is about 4098.6827152147. The cubic root of 16799200 is about 256.1117676023. Note that the first 3 decimals are identical.

The spelling of 16799200 in words is "sixteen million, seven hundred ninety-nine thousand, two hundred".