13531840 has 84 divisors (see below), whose sum is σ = 37526976. Its totient is φ = 4634112.

The previous prime is 13531811. The next prime is 13531849. The reversal of 13531840 is 4813531.

13531840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13531840² = 366221387571200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13531849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15249 + ... + 16111.

Almost surely, 2^13531840 is an apocalyptic number.

13531840 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 13531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763488).

13531840 is an abundant number, since it is smaller than the sum of its proper divisors (23995136).

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

13531840 is an equidigital number, since it uses as much as digits as its factorization.

13531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 13531840 is about 3678.5649375810. The cubic root of 13531840 is about 238.2972065584.

The spelling of 13531840 in words is "thirteen million, five hundred thirty-one thousand, eight hundred forty".