685727586 has 64 divisors (see below), whose sum is σ = 1570536960. Its totient is φ = 221616000.

The previous prime is 685727569. The next prime is 685727587.

685727586 is a `hidden beast` number, since 6 + 8 + 57 + 2 + 7 + 586 = 666.

685727586 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×685727586³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (685727587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912711 + ... + 913461.

It is an arithmetic number, because the mean of its divisors is an integer number (24539640).

Almost surely, 2^685727586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685727586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785268480).

685727586 is an abundant number, since it is smaller than the sum of its proper divisors (884809374).

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

685727586 is a wasteful number, since it uses less digits than its factorization.

685727586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 685727586 is about 26186.4007836129. The cubic root of 685727586 is about 881.8279779283.

It can be divided in two parts, 6857 and 27586, that added together give a palindrome (34443).

The spelling of 685727586 in words is "six hundred eighty-five million, seven hundred twenty-seven thousand, five hundred eighty-six".