11736984 has 64 divisors (see below), whose sum is σ = 35308800. Its totient is φ = 3176064.

The previous prime is 11736983. The next prime is 11736997. The reversal of 11736984 is 48963711.

11736984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11736983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (551700).

Almost surely, 2^11736984 is an apocalyptic number.

11736984 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 11736984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654400).

11736984 is an abundant number, since it is smaller than the sum of its proper divisors (23571816).

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

11736984 is a wasteful number, since it uses less digits than its factorization.

11736984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3708 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 11736984 is about 3425.9281953946. The cubic root of 11736984 is about 227.2578206175.

It can be divided in two parts, 11736 and 984, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 11736984 in words is "eleven million, seven hundred thirty-six thousand, nine hundred eighty-four".