10786864 has 40 divisors (see below), whose sum is σ = 22998528. Its totient is φ = 4860480.

The previous prime is 10786861. The next prime is 10786871. The reversal of 10786864 is 46868701.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10786861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29209 + ... + 29575.

Almost surely, 2^10786864 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 10786864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499264).

10786864 is an abundant number, since it is smaller than the sum of its proper divisors (12211664).

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

10786864 is a wasteful number, since it uses less digits than its factorization.

10786864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 10786864 is about 3284.3361581909. The cubic root of 10786864 is about 220.9522360827.

The spelling of 10786864 in words is "ten million, seven hundred eighty-six thousand, eight hundred sixty-four".