10990880 has 48 divisors (see below), whose sum is σ = 26349624. Its totient is φ = 4331520.

The previous prime is 10990853. The next prime is 10990897. The reversal of 10990880 is 8809901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9560464 + 1430416 = 3092^2 + 1196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10990880.

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 7 ways as a sum of consecutive naturals, for example, 11210 + ... + 12150.

Almost surely, 2^10990880 is an apocalyptic number.

10990880 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 10990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13174812).

10990880 is an abundant number, since it is smaller than the sum of its proper divisors (15358744).

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

10990880 is an equidigital number, since it uses as much as digits as its factorization.

10990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 10990880 is about 3315.2496135284. The cubic root of 10990880 is about 222.3365293405.

The spelling of 10990880 in words is "ten million, nine hundred ninety thousand, eight hundred eighty".