13117664 has 48 divisors (see below), whose sum is σ = 29782368. Its totient is φ = 5571072.

The previous prime is 13117661. The next prime is 13117679. The reversal of 13117664 is 46671131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34982 + ... + 35354.

It is an arithmetic number, because the mean of its divisors is an integer number (620466).

Almost surely, 2^13117664 is an apocalyptic number.

13117664 is a gapful number since it is divisible by the number (14) 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 13117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891184).

13117664 is an abundant number, since it is smaller than the sum of its proper divisors (16664704).

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

13117664 is a wasteful number, since it uses less digits than its factorization.

13117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 13117664 is about 3621.8315808441. The cubic root of 13117664 is about 235.8407428849.

Adding to 13117664 its reverse (46671131), we get a palindrome (59788795).

The spelling of 13117664 in words is "thirteen million, one hundred seventeen thousand, six hundred sixty-four".