13003980 has 192 divisors, whose sum is σ = 44997120. Its totient is φ = 2764800.

The previous prime is 13003979. The next prime is 13003987. The reversal of 13003980 is 8930031.

13003980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13003980.

It is not an unprimeable number, because it can be changed into a prime (13003987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213150 + ... + 213210.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^13003980 is an apocalyptic number.

13003980 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 13003980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13003980 is an abundant number, since it is smaller than the sum of its proper divisors (31993140).

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

13003980 is a wasteful number, since it uses less digits than its factorization.

13003980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 13003980 is about 3606.1031599221. The cubic root of 13003980 is about 235.1574619956.

The spelling of 13003980 in words is "thirteen million, three thousand, nine hundred eighty".