10663200 has 108 divisors (see below), whose sum is σ = 37626498. Its totient is φ = 2841600.

The previous prime is 10663193. The next prime is 10663217. The reversal of 10663200 is 236601.

It is a happy number.

10663200 is a `hidden beast` number, since 1 + 0 + 663 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7551504 + 3111696 = 2748^2 + 1764^2 .

It is a super-2 number, since 2×10663200² = 227407668480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6460 + ... + 7940.

Almost surely, 2^10663200 is an apocalyptic number.

10663200 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 10663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813249).

10663200 is an abundant number, since it is smaller than the sum of its proper divisors (26963298).

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

10663200 is a wasteful number, since it uses less digits than its factorization.

10663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10663200 is about 3265.4555578051. The cubic root of 10663200 is about 220.1046334234.

Adding to 10663200 its reverse (236601), we get a palindrome (10899801).

The spelling of 10663200 in words is "ten million, six hundred sixty-three thousand, two hundred".