13365440 has 56 divisors (see below), whose sum is σ = 34728912. Its totient is φ = 4858880.

The previous prime is 13365409. The next prime is 13365479. The reversal of 13365440 is 4456331.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1622 + ... + 5418.

Almost surely, 2^13365440 is an apocalyptic number.

13365440 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 13365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364456).

13365440 is an abundant number, since it is smaller than the sum of its proper divisors (21363472).

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

13365440 is a wasteful number, since it uses less digits than its factorization.

13365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 13365440 is about 3655.8774596532. The cubic root of 13365440 is about 237.3164010420.

It can be divided in two parts, 1336 and 5440, that added together give a palindrome (6776).

The spelling of 13365440 in words is "thirteen million, three hundred sixty-five thousand, four hundred forty".