10865984 has 42 divisors (see below), whose sum is σ = 22319742. Its totient is φ = 5248000.

The previous prime is 10865983. The next prime is 10865999. The reversal of 10865984 is 48956801.

It can be written as a sum of positive squares in 3 ways, for example, as 160000 + 10705984 = 400^2 + 3272^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10865983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107534 + ... + 107634.

Almost surely, 2^10865984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159871).

10865984 is an abundant number, since it is smaller than the sum of its proper divisors (11453758).

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

10865984 is an equidigital number, since it uses as much as digits as its factorization.

10865984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 10865984 is about 3296.3592037277. The cubic root of 10865984 is about 221.4911376045.

The spelling of 10865984 in words is "ten million, eight hundred sixty-five thousand, nine hundred eighty-four".