13895440 has 80 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 4953600.

The previous prime is 13895419. The next prime is 13895447. The reversal of 13895440 is 4459831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13895396 and 13895405.

It is not an unprimeable number, because it can be changed into a prime (13895447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32025 + ... + 32455.

Almost surely, 2^13895440 is an apocalyptic number.

13895440 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 13895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

13895440 is an abundant number, since it is smaller than the sum of its proper divisors (22102256).

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

13895440 is a wasteful number, since it uses less digits than its factorization.

13895440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 13895440 is about 3727.6587826677. The cubic root of 13895440 is about 240.4127157927.

The spelling of 13895440 in words is "thirteen million, eight hundred ninety-five thousand, four hundred forty".