10983648 has 72 divisors (see below), whose sum is σ = 31266648. Its totient is φ = 3374592.

The previous prime is 10983647. The next prime is 10983671. The reversal of 10983648 is 84638901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10983647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15886 + ... + 16562.

It is an arithmetic number, because the mean of its divisors is an integer number (434259).

Almost surely, 2^10983648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10983648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15633324).

10983648 is an abundant number, since it is smaller than the sum of its proper divisors (20283000).

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

10983648 is a wasteful number, since it uses less digits than its factorization.

10983648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 10983648 is about 3314.1587167787. The cubic root of 10983648 is about 222.2877528221.

The spelling of 10983648 in words is "ten million, nine hundred eighty-three thousand, six hundred forty-eight".