10587200 has 84 divisors (see below), whose sum is σ = 28110180. Its totient is φ = 3901440.

The previous prime is 10587197. The next prime is 10587211. The reversal of 10587200 is 278501.

It can be written as a sum of positive squares in 6 ways, for example, as 295936 + 10291264 = 544^2 + 3208^2 .

It is a super-2 number, since 2×10587200² = 224177607680000, which contains 22 as substring.

It is a cake number, because a cake can be divided into 10587200 parts by 399 planar cuts.

It is an unprimeable number.

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, 20546 + ... + 21054.

It is an arithmetic number, because the mean of its divisors is an integer number (334645).

Almost surely, 2^10587200 is an apocalyptic number.

10587200 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 10587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055090).

10587200 is an abundant number, since it is smaller than the sum of its proper divisors (17522980).

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

10587200 is a wasteful number, since it uses less digits than its factorization.

10587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10587200 is about 3253.7977810552. The cubic root of 10587200 is about 219.5804676927.

It can be divided in two parts, 1058 and 7200, that multiplied together give a square (7617600 = 2760²).

The spelling of 10587200 in words is "ten million, five hundred eighty-seven thousand, two hundred".