16268200 has 48 divisors (see below), whose sum is σ = 40739580. Its totient is φ = 6005760.

The previous prime is 16268179. The next prime is 16268209. The reversal of 16268200 is 286261.

It can be written as a sum of positive squares in 6 ways, for example, as 8213956 + 8054244 = 2866^2 + 2838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16268209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529 + ... + 5728.

Almost surely, 2^16268200 is an apocalyptic number.

16268200 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 16268200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369790).

16268200 is an abundant number, since it is smaller than the sum of its proper divisors (24471380).

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

16268200 is a wasteful number, since it uses less digits than its factorization.

16268200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 16268200 is about 4033.3856745915. The cubic root of 16268200 is about 253.3843772184.

The spelling of 16268200 in words is "sixteen million, two hundred sixty-eight thousand, two hundred".