724656 has 40 divisors (see below), whose sum is σ = 1936384. Its totient is φ = 233280.

The previous prime is 724651. The next prime is 724721. The reversal of 724656 is 656427.

It is not an unprimeable number, because it can be changed into a prime (724651) 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, 1245 + ... + 1731.

2⁷²⁴⁶⁵⁶ 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 724656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968192).

724656 is an abundant number, since it is smaller than the sum of its proper divisors (1211728).

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

724656 is a wasteful number, since it uses less digits than its factorization.

724656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 724656 is about 851.2672905733. The cubic root of 724656 is about 89.8208783091.

The spelling of 724656 in words is "seven hundred twenty-four thousand, six hundred fifty-six".