10983980 has 48 divisors (see below), whose sum is σ = 26777856. Its totient is φ = 3706560.

The previous prime is 10983967. The next prime is 10983983. The reversal of 10983980 is 8938901.

10983980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10983983) 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, 8795 + ... + 9965.

It is an arithmetic number, because the mean of its divisors is an integer number (557872).

Almost surely, 2^10983980 is an apocalyptic number.

10983980 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 10983980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388928).

10983980 is an abundant number, since it is smaller than the sum of its proper divisors (15793876).

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

10983980 is a wasteful number, since it uses less digits than its factorization.

10983980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 10983980 is about 3314.2088045264. The cubic root of 10983980 is about 222.2899924784.

The spelling of 10983980 in words is "ten million, nine hundred eighty-three thousand, nine hundred eighty".