10631200 has 72 divisors (see below), whose sum is σ = 26412372. Its totient is φ = 4177920.

The previous prime is 10631189. The next prime is 10631207. The reversal of 10631200 is 213601.

It can be written as a sum of positive squares in 6 ways, for example, as 4016016 + 6615184 = 2004^2 + 2572^2 .

It is a super-2 number, since 2×10631200² = 226044826880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10631207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77532 + ... + 77668.

Almost surely, 2^10631200 is an apocalyptic number.

10631200 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 10631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206186).

10631200 is an abundant number, since it is smaller than the sum of its proper divisors (15781172).

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

10631200 is a wasteful number, since it uses less digits than its factorization.

10631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10631200 is about 3260.5521004885. The cubic root of 10631200 is about 219.8842366170.

Adding to 10631200 its reverse (213601), we get a palindrome (10844801).

The spelling of 10631200 in words is "ten million, six hundred thirty-one thousand, two hundred".