13859640 has 128 divisors (see below), whose sum is σ = 47476800. Its totient is φ = 3594240.

The previous prime is 13859623. The next prime is 13859647. The reversal of 13859640 is 4695831.

13859640 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13859595 and 13859604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13859647) 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, 44124 + ... + 44436.

Almost surely, 2^13859640 is an apocalyptic number.

13859640 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 13859640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738400).

13859640 is an abundant number, since it is smaller than the sum of its proper divisors (33617160).

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

13859640 is a wasteful number, since it uses less digits than its factorization.

13859640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

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

The square root of 13859640 is about 3722.8537441055. The cubic root of 13859640 is about 240.2060730073.

It can be divided in two parts, 1385 and 9640, that added together give a square (11025 = 105²).

The spelling of 13859640 in words is "thirteen million, eight hundred fifty-nine thousand, six hundred forty".