13531648 has 80 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 5861376.

The previous prime is 13531633. The next prime is 13531663. The reversal of 13531648 is 84613531.

It is an interprime number because it is at equal distance from previous prime (13531633) and next prime (13531663).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126411 + ... + 126517.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^13531648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

13531648 is an abundant number, since it is smaller than the sum of its proper divisors (17403872).

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

13531648 is a wasteful number, since it uses less digits than its factorization.

13531648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 13531648 is about 3678.5388403550. The cubic root of 13531648 is about 238.2960795060.

The spelling of 13531648 in words is "thirteen million, five hundred thirty-one thousand, six hundred forty-eight".