11463984 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3068928.

The previous prime is 11463971. The next prime is 11464009. The reversal of 11463984 is 48936411.

11463984 is a `hidden beast` number, since 1 + 14 + 639 + 8 + 4 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51297 + ... + 51519.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^11463984 is an apocalyptic number.

11463984 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 11463984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

11463984 is an abundant number, since it is smaller than the sum of its proper divisors (28533456).

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

11463984 is a wasteful number, since it uses less digits than its factorization.

11463984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11463984 is about 3385.8505578362. The cubic root of 11463984 is about 225.4819889811.

The spelling of 11463984 in words is "eleven million, four hundred sixty-three thousand, nine hundred eighty-four".