10983120 has 40 divisors (see below), whose sum is σ = 34048416. Its totient is φ = 2928768.

The previous prime is 10983113. The next prime is 10983127. The reversal of 10983120 is 2138901.

10983120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10983113) and next prime (10983127).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10983127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22642 + ... + 23121.

Almost surely, 2^10983120 is an apocalyptic number.

10983120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10983120 is an abundant number, since it is smaller than the sum of its proper divisors (23065296).

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

10983120 is a wasteful number, since it uses less digits than its factorization.

10983120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45779 (or 45773 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10983120 is about 3314.0790575965. The cubic root of 10983120 is about 222.2841908660.

The spelling of 10983120 in words is "ten million, nine hundred eighty-three thousand, one hundred twenty".