13191984 has 160 divisors (see below), whose sum is σ = 42705600. Its totient is φ = 3919104.

The previous prime is 13191979. The next prime is 13191991. The reversal of 13191984 is 48919131.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454882 + ... + 454910.

It is an arithmetic number, because the mean of its divisors is an integer number (266910).

Almost surely, 2^13191984 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 13191984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21352800).

13191984 is an abundant number, since it is smaller than the sum of its proper divisors (29513616).

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

13191984 is an equidigital number, since it uses as much as digits as its factorization.

13191984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 13191984 is about 3632.0770916929. The cubic root of 13191984 is about 236.2853008475.

The spelling of 13191984 in words is "thirteen million, one hundred ninety-one thousand, nine hundred eighty-four".