10884840 has 64 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 2853120.

The previous prime is 10884827. The next prime is 10884859. The reversal of 10884840 is 4848801.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6577 + ... + 8063.

It is an arithmetic number, because the mean of its divisors is an integer number (518940).

Almost surely, 2^10884840 is an apocalyptic number.

10884840 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 10884840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

10884840 is an abundant number, since it is smaller than the sum of its proper divisors (22327320).

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

10884840 is a wasteful number, since it uses less digits than its factorization.

10884840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 10884840 is about 3299.2180891842. The cubic root of 10884840 is about 221.6191831760.

It can be divided in two parts, 108 and 84840, that added together give a palindrome (84948).

The spelling of 10884840 in words is "ten million, eight hundred eighty-four thousand, eight hundred forty".