10864638 has 32 divisors (see below), whose sum is σ = 24710400. Its totient is φ = 3536568.

The previous prime is 10864627. The next prime is 10864639. The reversal of 10864638 is 83646801.

It is a happy number.

10864638 is a `hidden beast` number, since 1 + 0 + 8 + 646 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (772200).

Almost surely, 2^10864638 is an apocalyptic number.

10864638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10864638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355200).

10864638 is an abundant number, since it is smaller than the sum of its proper divisors (13845762).

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

10864638 is a wasteful number, since it uses less digits than its factorization.

10864638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4727 counting only the distinct ones).

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

The square root of 10864638 is about 3296.1550327617. The cubic root of 10864638 is about 221.4819916501.

It can be divided in two parts, 108 and 64638, that added together give a palindrome (64746).

The spelling of 10864638 in words is "ten million, eight hundred sixty-four thousand, six hundred thirty-eight".