12617320 has 64 divisors (see below), whose sum is σ = 29970000. Its totient is φ = 4773888.

The previous prime is 12617309. The next prime is 12617321. The reversal of 12617320 is 2371621.

12617320 = 220² + 221² + ... + 364².

It can be written as a sum of positive squares in 8 ways, for example, as 3363556 + 9253764 = 1834^2 + 3042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12617291 and 12617300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84606 + ... + 84754.

Almost surely, 2^12617320 is an apocalyptic number.

12617320 is a gapful number since it is divisible by the number (10) 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 12617320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985000).

12617320 is an abundant number, since it is smaller than the sum of its proper divisors (17352680).

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

12617320 is a wasteful number, since it uses less digits than its factorization.

12617320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 12617320 is about 3552.0867106533. The cubic root of 12617320 is about 232.8032501918.

Adding to 12617320 its reverse (2371621), we get a palindrome (14988941).

The spelling of 12617320 in words is "twelve million, six hundred seventeen thousand, three hundred twenty".