11166984 has 80 divisors (see below), whose sum is σ = 32960400. Its totient is φ = 3522528.

The previous prime is 11166923. The next prime is 11167027. The reversal of 11166984 is 48966111.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11859 + ... + 12765.

It is an arithmetic number, because the mean of its divisors is an integer number (412005).

Almost surely, 2^11166984 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 11166984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480200).

11166984 is an abundant number, since it is smaller than the sum of its proper divisors (21793416).

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

11166984 is a wasteful number, since it uses less digits than its factorization.

11166984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11166984 is about 3341.7037570676. The cubic root of 11166984 is about 223.5177230214.

It can be divided in two parts, 1116 and 6984, that added together give a square (8100 = 90²).

The spelling of 11166984 in words is "eleven million, one hundred sixty-six thousand, nine hundred eighty-four".