10832864 has 48 divisors (see below), whose sum is σ = 24621408. Its totient is φ = 4595712.

The previous prime is 10832851. The next prime is 10832867. The reversal of 10832864 is 46823801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10832864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10832867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30512 + ... + 30864.

It is an arithmetic number, because the mean of its divisors is an integer number (512946).

Almost surely, 2^10832864 is an apocalyptic number.

10832864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10832864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310704).

10832864 is an abundant number, since it is smaller than the sum of its proper divisors (13788544).

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

10832864 is a wasteful number, since it uses less digits than its factorization.

10832864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 10832864 is about 3291.3316453983. The cubic root of 10832864 is about 221.2658703119.

The spelling of 10832864 in words is "ten million, eight hundred thirty-two thousand, eight hundred sixty-four".