724608 has 96 divisors (see below), whose sum is σ = 2267460. Its totient is φ = 221184.

The previous prime is 724601. The next prime is 724609. The reversal of 724608 is 806427.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 97344 = 792^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 724608.

It is not an unprimeable number, because it can be changed into a prime (724601) by changing a digit.

724608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19566 + ... + 19602.

2⁷²⁴⁶⁰⁸ 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 724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133730).

724608 is an abundant number, since it is smaller than the sum of its proper divisors (1542852).

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

724608 is a wasteful number, since it uses less digits than its factorization.

724608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

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

The square root of 724608 is about 851.2390968465. The cubic root of 724608 is about 89.8188950704.

It can be divided in two parts, 72 and 4608, that multiplied together give a 4-th power (331776 = 24⁴).

The spelling of 724608 in words is "seven hundred twenty-four thousand, six hundred eight".