647724 has 48 divisors (see below), whose sum is σ = 1886976. Its totient is φ = 168000.

The previous prime is 647723. The next prime is 647741. The reversal of 647724 is 427746.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 647691 and 647700.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 647724.

It is not an unprimeable number, because it can be changed into a prime (647723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁶⁴⁷⁷²⁴ 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 647724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488).

647724 is an abundant number, since it is smaller than the sum of its proper divisors (1239252).

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

647724 is a wasteful number, since it uses less digits than its factorization.

647724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 647724 is about 804.8130217634. The cubic root of 647724 is about 86.5226866441.

The spelling of 647724 in words is "six hundred forty-seven thousand, seven hundred twenty-four".