13363680 has 96 divisors (see below), whose sum is σ = 45940608. Its totient is φ = 3238400.

The previous prime is 13363657. The next prime is 13363681. The reversal of 13363680 is 8636331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13363681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4015 + ... + 6545.

It is an arithmetic number, because the mean of its divisors is an integer number (478548).

Almost surely, 2^13363680 is an apocalyptic number.

13363680 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 13363680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22970304).

13363680 is an abundant number, since it is smaller than the sum of its proper divisors (32576928).

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

13363680 is a wasteful number, since it uses less digits than its factorization.

13363680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 13363680 is about 3655.6367434416. The cubic root of 13363680 is about 237.3059837468.

The spelling of 13363680 in words is "thirteen million, three hundred sixty-three thousand, six hundred eighty".