13623680 has 64 divisors (see below), whose sum is σ = 37234080. Its totient is φ = 4669440.

The previous prime is 13623667. The next prime is 13623697. The reversal of 13623680 is 8632631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2960 + ... + 6000.

Almost surely, 2^13623680 is an apocalyptic number.

13623680 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 13623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

13623680 is an abundant number, since it is smaller than the sum of its proper divisors (23610400).

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

13623680 is an equidigital number, since it uses as much as digits as its factorization.

13623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 13623680 is about 3691.0269573657. The cubic root of 13623680 is about 238.8350957138.

The spelling of 13623680 in words is "thirteen million, six hundred twenty-three thousand, six hundred eighty".