13487936 has 168 divisors, whose sum is σ = 37526976. Its totient is φ = 4730880.

The previous prime is 13487923. The next prime is 13487963. The reversal of 13487936 is 63978431.

13487936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13487893 and 13487902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586421 + ... + 586443.

Almost surely, 2^13487936 is an apocalyptic number.

13487936 is a gapful number since it is divisible by the number (16) 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 13487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763488).

13487936 is an abundant number, since it is smaller than the sum of its proper divisors (24039040).

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

13487936 is a wasteful number, since it uses less digits than its factorization.

13487936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 13487936 is about 3672.5925447836. The cubic root of 13487936 is about 238.0392092264.

The spelling of 13487936 in words is "thirteen million, four hundred eighty-seven thousand, nine hundred thirty-six".