584672 has 36 divisors (see below), whose sum is σ = 1273608. Its totient is φ = 264000.

The previous prime is 584663. The next prime is 584677. The reversal of 584672 is 276485.

584672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 584672.

It is not an unprimeable number, because it can be changed into a prime (584677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3797 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (35378).

2⁵⁸⁴⁶⁷² 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 584672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636804).

584672 is an abundant number, since it is smaller than the sum of its proper divisors (688936).

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

584672 is a wasteful number, since it uses less digits than its factorization.

584672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 584672 is about 764.6384766672. The cubic root of 584672 is about 83.6188323225.

The spelling of 584672 in words is "five hundred eighty-four thousand, six hundred seventy-two".