10983280 has 80 divisors (see below), whose sum is σ = 31855104. Its totient is φ = 3421440.

The previous prime is 10983277. The next prime is 10983281. The reversal of 10983280 is 8238901.

10983280 = 270² + 271² + ... + 374².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10983281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269 + ... + 7051.

Almost surely, 2^10983280 is an apocalyptic number.

10983280 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 10983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927552).

10983280 is an abundant number, since it is smaller than the sum of its proper divisors (20871824).

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

10983280 is a wasteful number, since it uses less digits than its factorization.

10983280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10983280 is about 3314.1031969448. The cubic root of 10983280 is about 222.2852702587.

The spelling of 10983280 in words is "ten million, nine hundred eighty-three thousand, two hundred eighty".