10983080 has 64 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 4147200.

The previous prime is 10983079. The next prime is 10983107. The reversal of 10983080 is 8038901.

It is a happy number.

10983080 is nontrivially palindromic in base 3.

10983080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1085764 + 9897316 = 1042^2 + 3146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60590 + ... + 60770.

Almost surely, 2^10983080 is an apocalyptic number.

10983080 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 10983080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

10983080 is an abundant number, since it is smaller than the sum of its proper divisors (15159400).

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

10983080 is a wasteful number, since it uses less digits than its factorization.

10983080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 10983080 is about 3314.0730227320. The cubic root of 10983080 is about 222.2839210162.

The spelling of 10983080 in words is "ten million, nine hundred eighty-three thousand, eighty".