13887504 has 160 divisors (see below), whose sum is σ = 44282880. Its totient is φ = 4147200.

The previous prime is 13887493. The next prime is 13887539. The reversal of 13887504 is 40578831.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227634 + ... + 227694.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 2^13887504 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 13887504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141440).

13887504 is an abundant number, since it is smaller than the sum of its proper divisors (30395376).

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

13887504 is a wasteful number, since it uses less digits than its factorization.

13887504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13887504 is about 3726.5941555259. The cubic root of 13887504 is about 240.3669386974.

The spelling of 13887504 in words is "thirteen million, eight hundred eighty-seven thousand, five hundred four".