10868832 has 72 divisors (see below), whose sum is σ = 33297264. Its totient is φ = 3343104.

The previous prime is 10868791. The next prime is 10868839. The reversal of 10868832 is 23886801.

It is a tau number, because it is divible by the number of its divisors (72).

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 (10868839) 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, 2293 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (462462).

Almost surely, 2^10868832 is an apocalyptic number.

10868832 is a gapful number since it is divisible by the number (12) 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 10868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632).

10868832 is an abundant number, since it is smaller than the sum of its proper divisors (22428432).

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

10868832 is a wasteful number, since it uses less digits than its factorization.

10868832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10868832 is about 3296.7911671806. The cubic root of 10868832 is about 221.5104870304.

The spelling of 10868832 in words is "ten million, eight hundred sixty-eight thousand, eight hundred thirty-two".