11280984 has 128 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 2972160.

The previous prime is 11280953. The next prime is 11280989. The reversal of 11280984 is 48908211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11280989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65122 + ... + 65294.

It is an arithmetic number, because the mean of its divisors is an integer number (274050).

Almost surely, 2^11280984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11280984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).

11280984 is an abundant number, since it is smaller than the sum of its proper divisors (23797416).

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

11280984 is a wasteful number, since it uses less digits than its factorization.

11280984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 11280984 is about 3358.7176124229. The cubic root of 11280984 is about 224.2757552052.

The spelling of 11280984 in words is "eleven million, two hundred eighty thousand, nine hundred eighty-four".