10882720 has 48 divisors (see below), whose sum is σ = 27229608. Its totient is φ = 4096000.

The previous prime is 10882679. The next prime is 10882723. The reversal of 10882720 is 2728801.

It can be written as a sum of positive squares in 4 ways, for example, as 7333264 + 3549456 = 2708^2 + 1884^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10882723) 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, 720 + ... + 4720.

Almost surely, 2^10882720 is an apocalyptic number.

10882720 is a gapful number since it is divisible by the number (10) 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 10882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13614804).

10882720 is an abundant number, since it is smaller than the sum of its proper divisors (16346888).

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

10882720 is a wasteful number, since it uses less digits than its factorization.

10882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 10882720 is about 3298.8967852905. The cubic root of 10882720 is about 221.6047942591.

It can be divided in two parts, 108 and 82720, that added together give a palindrome (82828).

The spelling of 10882720 in words is "ten million, eight hundred eighty-two thousand, seven hundred twenty".