13425984 has 168 divisors, whose sum is σ = 45488352. Its totient is φ = 3732480.

The previous prime is 13425977. The next prime is 13425991. The reversal of 13425984 is 48952431.

It is an interprime number because it is at equal distance from previous prime (13425977) and next prime (13425991).

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 82287 + ... + 82449.

It is an arithmetic number, because the mean of its divisors is an integer number (270764).

Almost surely, 2^13425984 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 13425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22744176).

13425984 is an abundant number, since it is smaller than the sum of its proper divisors (32062368).

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

13425984 is a wasteful number, since it uses less digits than its factorization.

13425984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13425984 is about 3664.1484686077. The cubic root of 13425984 is about 237.6742005440.

The spelling of 13425984 in words is "thirteen million, four hundred twenty-five thousand, nine hundred eighty-four".