13531616 has 48 divisors (see below), whose sum is σ = 30701664. Its totient is φ = 5750784.

The previous prime is 13531607. The next prime is 13531633. The reversal of 13531616 is 61613531.

It is a zygodrome in base 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 43076 + ... + 43388.

It is an arithmetic number, because the mean of its divisors is an integer number (639618).

Almost surely, 2^13531616 is an apocalyptic number.

13531616 is a gapful number since it is divisible by the number (16) 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 13531616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350832).

13531616 is an abundant number, since it is smaller than the sum of its proper divisors (17170048).

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

13531616 is a wasteful number, since it uses less digits than its factorization.

13531616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 13531616 is about 3678.5344907993. The cubic root of 13531616 is about 238.2958916629.

The spelling of 13531616 in words is "thirteen million, five hundred thirty-one thousand, six hundred sixteen".