10836864 has 96 divisors (see below), whose sum is σ = 32619600. Its totient is φ = 3446784.

The previous prime is 10836863. The next prime is 10836869. The reversal of 10836864 is 46863801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10836863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26292 + ... + 26700.

Almost surely, 2^10836864 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 10836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309800).

10836864 is an abundant number, since it is smaller than the sum of its proper divisors (21782736).

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

10836864 is a wasteful number, since it uses less digits than its factorization.

10836864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

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

The square root of 10836864 is about 3291.9392460980. The cubic root of 10836864 is about 221.2931008629.

The spelling of 10836864 in words is "ten million, eight hundred thirty-six thousand, eight hundred sixty-four".