13378240 has 56 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 5283840.

The previous prime is 13378237. The next prime is 13378241. The reversal of 13378240 is 4287331.

It is a junction number, because it is equal to n+sod(n) for n = 13378199 and 13378208.

It is not an unprimeable number, because it can be changed into a prime (13378241) 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, 30825 + ... + 31255.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 2^13378240 is an apocalyptic number.

13378240 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 13378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

13378240 is an abundant number, since it is smaller than the sum of its proper divisors (18881792).

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

13378240 is an equidigital number, since it uses as much as digits as its factorization.

13378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 13378240 is about 3657.6276464397. The cubic root of 13378240 is about 237.3921356914.

Subtracting from 13378240 its reverse (4287331), we obtain a palindrome (9090909).

The spelling of 13378240 in words is "thirteen million, three hundred seventy-eight thousand, two hundred forty".