13319680 has 120 divisors (see below), whose sum is σ = 35919576. Its totient is φ = 4730880.

The previous prime is 13319641. The next prime is 13319689. The reversal of 13319680 is 8691331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13319689) 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, 309739 + ... + 309781.

Almost surely, 2^13319680 is an apocalyptic number.

13319680 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 13319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959788).

13319680 is an abundant number, since it is smaller than the sum of its proper divisors (22599896).

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

13319680 is an equidigital number, since it uses as much as digits as its factorization.

13319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 13319680 is about 3649.6136781857. The cubic root of 13319680 is about 237.0452535732.

It can be divided in two parts, 1331 and 9680, that added together give a palindrome (11011).

The spelling of 13319680 in words is "thirteen million, three hundred nineteen thousand, six hundred eighty".