10865800 has 72 divisors (see below), whose sum is σ = 27830250. Its totient is φ = 3942400.

The previous prime is 10865797. The next prime is 10865801. The reversal of 10865800 is 856801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8561476 + 2304324 = 2926^2 + 1518^2 .

It is not an unprimeable number, because it can be changed into a prime (10865801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23976 + ... + 24424.

Almost surely, 2^10865800 is an apocalyptic number.

10865800 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 10865800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915125).

10865800 is an abundant number, since it is smaller than the sum of its proper divisors (16964450).

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

10865800 is a wasteful number, since it uses less digits than its factorization.

10865800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 10865800 is about 3296.3312940298. The cubic root of 10865800 is about 221.4898873849.

It can be divided in two parts, 1086 and 5800, that added together give a palindrome (6886).

The spelling of 10865800 in words is "ten million, eight hundred sixty-five thousand, eight hundred".