11085984 has 240 divisors, whose sum is σ = 40981248. Its totient is φ = 2861568.

The previous prime is 11085983. The next prime is 11086037. The reversal of 11085984 is 48958011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11085983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235849 + ... + 235895.

Almost surely, 2^11085984 is an apocalyptic number.

11085984 is a gapful number since it is divisible by the number (14) 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 11085984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490624).

11085984 is an abundant number, since it is smaller than the sum of its proper divisors (29895264).

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

11085984 is a wasteful number, since it uses less digits than its factorization.

11085984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11085984 is about 3329.5621333743. The cubic root of 11085984 is about 222.9759805750.

The spelling of 11085984 in words is "eleven million, eighty-five thousand, nine hundred eighty-four".