13011648 has 84 divisors (see below), whose sum is σ = 37371528. Its totient is φ = 3993600.

The previous prime is 13011641. The next prime is 13011697. The reversal of 13011648 is 84611031.

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

It is not an unprimeable number, because it can be changed into a prime (13011641) 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, 32248 + ... + 32648.

Almost surely, 2^13011648 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 13011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685764).

13011648 is an abundant number, since it is smaller than the sum of its proper divisors (24359880).

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

13011648 is a wasteful number, since it uses less digits than its factorization.

13011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13011648 is about 3607.1662007731. The cubic root of 13011648 is about 235.2036743375.

Adding to 13011648 its reverse (84611031), we get a palindrome (97622679).

The spelling of 13011648 in words is "thirteen million, eleven thousand, six hundred forty-eight".