13581840 has 40 divisors (see below), whose sum is σ = 42104448. Its totient is φ = 3621760.

The previous prime is 13581839. The next prime is 13581847. The reversal of 13581840 is 4818531.

13581840 is digitally balanced in base 2, because in such base 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13581798 and 13581807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13581847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28056 + ... + 28535.

Almost surely, 2^13581840 is an apocalyptic number.

13581840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13581840 is an abundant number, since it is smaller than the sum of its proper divisors (28522608).

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

13581840 is a wasteful number, since it uses less digits than its factorization.

13581840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56607 (or 56601 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 13581840 is about 3685.3547997445. The cubic root of 13581840 is about 238.5903476559.

The spelling of 13581840 in words is "thirteen million, five hundred eighty-one thousand, eight hundred forty".