13387760 has 40 divisors (see below), whose sum is σ = 31578336. Its totient is φ = 5277440.

The previous prime is 13387757. The next prime is 13387769. The reversal of 13387760 is 6778331.

13387760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13387760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13387769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4502 + ... + 6858.

Almost surely, 2^13387760 is an apocalyptic number.

13387760 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 13387760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15789168).

13387760 is an abundant number, since it is smaller than the sum of its proper divisors (18190576).

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

13387760 is a wasteful number, since it uses less digits than its factorization.

13387760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 13387760 is about 3658.9288049920. The cubic root of 13387760 is about 237.4484320172.

Subtracting from 13387760 its sum of digits (35), we obtain a triangular number (13387725 = T₅₁₇₄).

The spelling of 13387760 in words is "thirteen million, three hundred eighty-seven thousand, seven hundred sixty".