11004680 has 32 divisors (see below), whose sum is σ = 25185600. Its totient is φ = 4326336.

The previous prime is 11004673. The next prime is 11004691. The reversal of 11004680 is 8640011.

11004680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11004680² = 242205963804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (787050).

Almost surely, 2^11004680 is an apocalyptic number.

11004680 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 11004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592800).

11004680 is an abundant number, since it is smaller than the sum of its proper divisors (14180920).

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

11004680 is a wasteful number, since it uses less digits than its factorization.

11004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11004680 is about 3317.3302518742. The cubic root of 11004680 is about 222.4295446663.

Adding to 11004680 its reverse (8640011), we get a palindrome (19644691).

The spelling of 11004680 in words is "eleven million, four thousand, six hundred eighty".