647584 has 48 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 272832.

The previous prime is 647579. The next prime is 647587. The reversal of 647584 is 485746.

It is not an unprimeable number, because it can be changed into a prime (647587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10947 + ... + 11005.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁶⁴⁷⁵⁸⁴ 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 647584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

647584 is an abundant number, since it is smaller than the sum of its proper divisors (864416).

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

647584 is an equidigital number, since it uses as much as digits as its factorization.

647584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 647584 is about 804.7260403392. The cubic root of 647584 is about 86.5164524821.

The spelling of 647584 in words is "six hundred forty-seven thousand, five hundred eighty-four".