11673984 has 128 divisors (see below), whose sum is σ = 36622080. Its totient is φ = 3225600.

The previous prime is 11673947. The next prime is 11673989. The reversal of 11673984 is 48937611.

11673984 = T₅₇₇ + T₅₇₈ + ... + T₆₃₉.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (36288) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11673989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115534 + ... + 115634.

It is an arithmetic number, because the mean of its divisors is an integer number (286110).

Almost surely, 2^11673984 is an apocalyptic number.

11673984 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 11673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311040).

11673984 is an abundant number, since it is smaller than the sum of its proper divisors (24948096).

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

11673984 is a wasteful number, since it uses less digits than its factorization.

11673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

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

The square root of 11673984 is about 3416.7212353366. The cubic root of 11673984 is about 226.8504775839.

It can be divided in two parts, 1167 and 3984, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 11673984 in words is "eleven million, six hundred seventy-three thousand, nine hundred eighty-four".