13387440 has 120 divisors (see below), whose sum is σ = 45715824. Its totient is φ = 3238400.

The previous prime is 13387427. The next prime is 13387447. The reversal of 13387440 is 4478331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13387398 and 13387407.

It is not an unprimeable number, because it can be changed into a prime (13387447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28810 + ... + 29270.

Almost surely, 2^13387440 is an apocalyptic number.

13387440 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 13387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22857912).

13387440 is an abundant number, since it is smaller than the sum of its proper divisors (32328384).

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

13387440 is a wasteful number, since it uses less digits than its factorization.

13387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 13387440 is about 3658.8850760853. The cubic root of 13387440 is about 237.4465401373.

It can be divided in two parts, 1338 and 7440, that added together give a palindrome (8778).

The spelling of 13387440 in words is "thirteen million, three hundred eighty-seven thousand, four hundred forty".