583648 has 48 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 253440.

The previous prime is 583631. The next prime is 583651. The reversal of 583648 is 846385.

583648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

583648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9538 + ... + 9598.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁵⁸³⁶⁴⁸ 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 583648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

583648 is an abundant number, since it is smaller than the sum of its proper divisors (728768).

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

583648 is a wasteful number, since it uses less digits than its factorization.

583648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 583648 is about 763.9685857416. The cubic root of 583648 is about 83.5699868607.

The spelling of 583648 in words is "five hundred eighty-three thousand, six hundred forty-eight".