11033880 has 128 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 2465280.

The previous prime is 11033831. The next prime is 11033899. The reversal of 11033880 is 8833011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11033880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16839 + ... + 17481.

It is an arithmetic number, because the mean of its divisors is an integer number (304290).

Almost surely, 2^11033880 is an apocalyptic number.

11033880 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 11033880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474560).

11033880 is an abundant number, since it is smaller than the sum of its proper divisors (27915240).

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

11033880 is a wasteful number, since it uses less digits than its factorization.

11033880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11033880 is about 3321.7284657238. The cubic root of 11033880 is about 222.6261036625.

Adding to 11033880 its reverse (8833011), we get a palindrome (19866891).

The spelling of 11033880 in words is "eleven million, thirty-three thousand, eight hundred eighty".