13905864 has 128 divisors (see below), whose sum is σ = 46828800. Its totient is φ = 3732480.

The previous prime is 13905863. The next prime is 13905883. The reversal of 13905864 is 46850931.

13905864 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 (36).

It is not an unprimeable number, because it can be changed into a prime (13905863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25434 + ... + 25974.

It is an arithmetic number, because the mean of its divisors is an integer number (365850).

Almost surely, 2^13905864 is an apocalyptic number.

13905864 is a gapful number since it is divisible by the number (14) 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 13905864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23414400).

13905864 is an abundant number, since it is smaller than the sum of its proper divisors (32922936).

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

13905864 is a wasteful number, since it uses less digits than its factorization.

13905864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13905864 is about 3729.0567171873. The cubic root of 13905864 is about 240.4728179018.

The spelling of 13905864 in words is "thirteen million, nine hundred five thousand, eight hundred sixty-four".