13868480 has 56 divisors (see below), whose sum is σ = 34777680. Its totient is φ = 5253120.

The previous prime is 13868443. The next prime is 13868497. The reversal of 13868480 is 8486831.

13868480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4940 + ... + 7220.

It is an arithmetic number, because the mean of its divisors is an integer number (621030).

Almost surely, 2^13868480 is an apocalyptic number.

13868480 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 13868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388840).

13868480 is an abundant number, since it is smaller than the sum of its proper divisors (20909200).

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

13868480 is a wasteful number, since it uses less digits than its factorization.

13868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 13868480 is about 3724.0408161029. The cubic root of 13868480 is about 240.2571318225.

The spelling of 13868480 in words is "thirteen million, eight hundred sixty-eight thousand, four hundred eighty".