13531560 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3041280.

The previous prime is 13531559. The next prime is 13531571. The reversal of 13531560 is 6513531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13531560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74670 + ... + 74850.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^13531560 is an apocalyptic number.

13531560 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 13531560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

13531560 is an abundant number, since it is smaller than the sum of its proper divisors (33642840).

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

13531560 is a wasteful number, since it uses less digits than its factorization.

13531560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 13531560 is about 3678.5268790645. The cubic root of 13531560 is about 238.2955629367.

The spelling of 13531560 in words is "thirteen million, five hundred thirty-one thousand, five hundred sixty".