10864944 has 60 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 3593856.

The previous prime is 10864913. The next prime is 10864951. The reversal of 10864944 is 44946801.

It is a happy number.

10864944 is a `hidden beast` number, since 1 + 0 + 8 + 649 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 10864899 and 10864908.

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, 28177 + ... + 28559.

Almost surely, 2^10864944 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 10864944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

10864944 is an abundant number, since it is smaller than the sum of its proper divisors (19775952).

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

10864944 is a wasteful number, since it uses less digits than its factorization.

10864944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10864944 is about 3296.2014501544. The cubic root of 10864944 is about 221.4840709602.

The spelling of 10864944 in words is "ten million, eight hundred sixty-four thousand, nine hundred forty-four".