11980584 has 96 divisors (see below), whose sum is σ = 40472640. Its totient is φ = 3110400.

The previous prime is 11980559. The next prime is 11980589. The reversal of 11980584 is 48508911.

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

It is not an unprimeable number, because it can be changed into a prime (11980589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464 + ... + 6624.

It is an arithmetic number, because the mean of its divisors is an integer number (421590).

Almost surely, 2^11980584 is an apocalyptic number.

11980584 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 11980584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236320).

11980584 is an abundant number, since it is smaller than the sum of its proper divisors (28492056).

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

11980584 is a wasteful number, since it uses less digits than its factorization.

11980584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2184 counting only the distinct ones).

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

The square root of 11980584 is about 3461.2980224188. The cubic root of 11980584 is about 228.8193053461.

The spelling of 11980584 in words is "eleven million, nine hundred eighty thousand, five hundred eighty-four".