724680 has 128 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 172800.

The previous prime is 724651. The next prime is 724721. The reversal of 724680 is 86427.

It is a super-2 number, since 2×724680² = 1050322204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

724680 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 31 ways as a sum of consecutive naturals, for example, 11850 + ... + 11910.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2⁷²⁴⁶⁸⁰ 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 724680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

724680 is an abundant number, since it is smaller than the sum of its proper divisors (1953720).

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

724680 is a wasteful number, since it uses less digits than its factorization.

724680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 724680 is about 851.2813870865. The cubic root of 724680 is about 89.8218698956.

The spelling of 724680 in words is "seven hundred twenty-four thousand, six hundred eighty".