13587920 has 40 divisors (see below), whose sum is σ = 32616960. Its totient is φ = 5258880.

The previous prime is 13587887. The next prime is 13587923. The reversal of 13587920 is 2978531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13587923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 260 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (815424).

Almost surely, 2^13587920 is an apocalyptic number.

13587920 is a gapful number since it is divisible by the number (10) 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 13587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308480).

13587920 is an abundant number, since it is smaller than the sum of its proper divisors (19029040).

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

13587920 is a wasteful number, since it uses less digits than its factorization.

13587920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 13587920 is about 3686.1795941055. The cubic root of 13587920 is about 238.6259445241.

The spelling of 13587920 in words is "thirteen million, five hundred eighty-seven thousand, nine hundred twenty".