720564 has 48 divisors (see below), whose sum is σ = 1881600. Its totient is φ = 213120.

The previous prime is 720547. The next prime is 720569. The reversal of 720564 is 465027.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 720564.

It is not an unprimeable number, because it can be changed into a prime (720569) by changing a digit.

720564 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4762 + ... + 4910.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2⁷²⁰⁵⁶⁴ 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 720564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940800).

720564 is an abundant number, since it is smaller than the sum of its proper divisors (1161036).

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

720564 is a wasteful number, since it uses less digits than its factorization.

720564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 720564 is about 848.8604125532. The cubic root of 720564 is about 89.6514917145.

The spelling of 720564 in words is "seven hundred twenty thousand, five hundred sixty-four".