10865000 has 80 divisors (see below), whose sum is σ = 26569620. Its totient is φ = 4160000.

The previous prime is 10864999. The next prime is 10865021. The reversal of 10865000 is 56801.

It can be written as a sum of positive squares in 10 ways, for example, as 2067844 + 8797156 = 1438^2 + 2966^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204974 + ... + 205026.

Almost surely, 2^10865000 is an apocalyptic number.

10865000 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 10865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284810).

10865000 is an abundant number, since it is smaller than the sum of its proper divisors (15704620).

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

10865000 is an equidigital number, since it uses as much as digits as its factorization.

10865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10865000 is about 3296.2099447699. The cubic root of 10865000 is about 221.4844514833.

The spelling of 10865000 in words is "ten million, eight hundred sixty-five thousand".