10887200 has 72 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 4204800.

The previous prime is 10887199. The next prime is 10887223. The reversal of 10887200 is 278801.

It is a super-2 number, since 2×10887200² = 237062247680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10887200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24581 + ... + 25019.

It is an arithmetic number, because the mean of its divisors is an integer number (381920).

Almost surely, 2^10887200 is an apocalyptic number.

10887200 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 10887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

10887200 is an abundant number, since it is smaller than the sum of its proper divisors (16611040).

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

10887200 is a wasteful number, since it uses less digits than its factorization.

10887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 10887200 is about 3299.5757303023. The cubic root of 10887200 is about 221.6351988295.

The spelling of 10887200 in words is "ten million, eight hundred eighty-seven thousand, two hundred".