716580 has 48 divisors (see below), whose sum is σ = 2231040. Its totient is φ = 190944.

The previous prime is 716563. The next prime is 716581. The reversal of 716580 is 85617.

716580 is a `hidden beast` number, since 7 + 1 + 658 + 0 = 666.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 716580.

It is not an unprimeable number, because it can be changed into a prime (716581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (46480).

2⁷¹⁶⁵⁸⁰ 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 716580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115520).

716580 is an abundant number, since it is smaller than the sum of its proper divisors (1514460).

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

716580 is a wasteful number, since it uses less digits than its factorization.

716580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 716580 is about 846.5104842824. The cubic root of 716580 is about 89.4859584934.

It can be divided in two parts, 716 and 580, that added together give a 4-th power (1296 = 6⁴).

The spelling of 716580 in words is "seven hundred sixteen thousand, five hundred eighty".