13807440 has 120 divisors (see below), whose sum is σ = 47044608. Its totient is φ = 3628800.

The previous prime is 13807421. The next prime is 13807463. The reversal of 13807440 is 4470831.

13807440 is digitally balanced in base 2 and base 4, because in such bases 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 (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91365 + ... + 91515.

Almost surely, 2^13807440 is an apocalyptic number.

13807440 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 13807440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522304).

13807440 is an abundant number, since it is smaller than the sum of its proper divisors (33237168).

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

13807440 is a wasteful number, since it uses less digits than its factorization.

13807440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13807440 is about 3715.8363796055. The cubic root of 13807440 is about 239.9041283744.

The spelling of 13807440 in words is "thirteen million, eight hundred seven thousand, four hundred forty".