13083984 has 80 divisors (see below), whose sum is σ = 38807040. Its totient is φ = 4216320.

The previous prime is 13083971. The next prime is 13083991. The reversal of 13083984 is 48938031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12904 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (485088).

Almost surely, 2^13083984 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 13083984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403520).

13083984 is an abundant number, since it is smaller than the sum of its proper divisors (25723056).

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

13083984 is a wasteful number, since it uses less digits than its factorization.

13083984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1013 counting only the distinct ones).

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

The square root of 13083984 is about 3617.1790113291. The cubic root of 13083984 is about 235.6387271399.

The spelling of 13083984 in words is "thirteen million, eighty-three thousand, nine hundred eighty-four".