10883840 has 72 divisors (see below), whose sum is σ = 28477008. Its totient is φ = 3952640.

The previous prime is 10883813. The next prime is 10883857. The reversal of 10883840 is 4838801.

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

It is a junction number, because it is equal to n+sod(n) for n = 10883797 and 10883806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13694 + ... + 14466.

It is an arithmetic number, because the mean of its divisors is an integer number (395514).

Almost surely, 2^10883840 is an apocalyptic number.

10883840 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 10883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238504).

10883840 is an abundant number, since it is smaller than the sum of its proper divisors (17593168).

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

10883840 is an equidigital number, since it uses as much as digits as its factorization.

10883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 10883840 is about 3299.0665346428. The cubic root of 10883840 is about 221.6123961839.

The spelling of 10883840 in words is "ten million, eight hundred eighty-three thousand, eight hundred forty".