10831872 has 96 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3440640.

The previous prime is 10831867. The next prime is 10831879. The reversal of 10831872 is 27813801.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10831879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251883 + ... + 251925.

It is an arithmetic number, because the mean of its divisors is an integer number (315315).

Almost surely, 2^10831872 is an apocalyptic number.

10831872 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 10831872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10831872 is an abundant number, since it is smaller than the sum of its proper divisors (19438368).

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

10831872 is an equidigital number, since it uses as much as digits as its factorization.

10831872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 10831872 is about 3291.1809430659. The cubic root of 10831872 is about 221.2591160979.

The spelling of 10831872 in words is "ten million, eight hundred thirty-one thousand, eight hundred seventy-two".