11004880 has 40 divisors (see below), whose sum is σ = 25784064. Its totient is φ = 4368000.

The previous prime is 11004871. The next prime is 11004881. The reversal of 11004880 is 8840011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11004880² = 242214767628800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004881) 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, 11625 + ... + 12535.

Almost surely, 2^11004880 is an apocalyptic number.

11004880 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 11004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892032).

11004880 is an abundant number, since it is smaller than the sum of its proper divisors (14779184).

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

11004880 is a wasteful number, since it uses less digits than its factorization.

11004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 11004880 is about 3317.3603964598. The cubic root of 11004880 is about 222.4308921427.

Adding to 11004880 its reverse (8840011), we get a palindrome (19844891).

The spelling of 11004880 in words is "eleven million, four thousand, eight hundred eighty".