10863864 has 144 divisors (see below), whose sum is σ = 34234200. Its totient is φ = 3104640.

The previous prime is 10863859. The next prime is 10863871. The reversal of 10863864 is 46836801.

It is a happy number.

10863864 is a `hidden beast` number, since 10 + 8 + 638 + 6 + 4 = 666.

10863864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252627 + ... + 252669.

Almost surely, 2^10863864 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 10863864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117100).

10863864 is an abundant number, since it is smaller than the sum of its proper divisors (23370336).

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

10863864 is a wasteful number, since it uses less digits than its factorization.

10863864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

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

The square root of 10863864 is about 3296.0376211445. The cubic root of 10863864 is about 221.4767320445.

It can be divided in two parts, 1086 and 3864, that added together give a triangular number (4950 = T₉₉).

The spelling of 10863864 in words is "ten million, eight hundred sixty-three thousand, eight hundred sixty-four".