13617320 has 32 divisors (see below), whose sum is σ = 30774600. Its totient is φ = 5422848.

The previous prime is 13617313. The next prime is 13617337. The reversal of 13617320 is 2371631.

It is a happy number.

13617320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12376324 + 1240996 = 3518^2 + 1114^2 .

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, 10466 + ... + 11694.

Almost surely, 2^13617320 is an apocalyptic number.

13617320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13617320 is an abundant number, since it is smaller than the sum of its proper divisors (17157280).

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

13617320 is a wasteful number, since it uses less digits than its factorization.

13617320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 13617320 is about 3690.1653079503. The cubic root of 13617320 is about 238.7979244639.

Adding to 13617320 its reverse (2371631), we get a palindrome (15988951).

The spelling of 13617320 in words is "thirteen million, six hundred seventeen thousand, three hundred twenty".