13387668 has 48 divisors (see below), whose sum is σ = 36470784. Its totient is φ = 3742560.

The previous prime is 13387667. The next prime is 13387669. The reversal of 13387668 is 86678331.

It is an interprime number because it is at equal distance from previous prime (13387667) and next prime (13387669).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13387667) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2253 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (759808).

Almost surely, 2^13387668 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 13387668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18235392).

13387668 is an abundant number, since it is smaller than the sum of its proper divisors (23083116).

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

13387668 is a wasteful number, since it uses less digits than its factorization.

13387668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3450 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 13387668 is about 3658.9162329848. The cubic root of 13387668 is about 237.4478881048.

The spelling of 13387668 in words is "thirteen million, three hundred eighty-seven thousand, six hundred sixty-eight".