730656 has 72 divisors (see below), whose sum is σ = 2162160. Its totient is φ = 233856.

The previous prime is 730637. The next prime is 730663. The reversal of 730656 is 656037.

730656 is a `hidden beast` number, since 7 + 3 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 730656.

It is an unprimeable number.

730656 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, 12355 + ... + 12413.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁷³⁰⁶⁵⁶ 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 730656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081080).

730656 is an abundant number, since it is smaller than the sum of its proper divisors (1431504).

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

730656 is a wasteful number, since it uses less digits than its factorization.

730656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 730656 is about 854.7841832884. The cubic root of 730656 is about 90.0680966113.

The spelling of 730656 in words is "seven hundred thirty thousand, six hundred fifty-six".