10083648 has 56 divisors (see below), whose sum is σ = 27614880. Its totient is φ = 3243520.

The previous prime is 10083643. The next prime is 10083653. The reversal of 10083648 is 84638001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10083643) and next prime (10083653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083643) 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 7 ways as a sum of consecutive naturals, for example, 4663 + ... + 6473.

Almost surely, 2^10083648 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 10083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807440).

10083648 is an abundant number, since it is smaller than the sum of its proper divisors (17531232).

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

10083648 is a wasteful number, since it uses less digits than its factorization.

10083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10083648 is about 3175.4760273068. The cubic root of 10083648 is about 216.0425156365.

It can be divided in two parts, 10083 and 648, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10083648 in words is "ten million, eighty-three thousand, six hundred forty-eight".