685737360 has 960 divisors, whose sum is σ = 3256934400. Its totient is φ = 130636800.

The previous prime is 685737359. The next prime is 685737397. The reversal of 685737360 is 63737586.

685737360 is a `hidden beast` number, since 6 + 8 + 573 + 73 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22120545 + ... + 22120575.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^685737360 is an apocalyptic number.

685737360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685737360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628467200).

685737360 is an abundant number, since it is smaller than the sum of its proper divisors (2571197040).

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

685737360 is a wasteful number, since it uses less digits than its factorization.

685737360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 685737360 is about 26186.5874065331. The cubic root of 685737360 is about 881.8321676123.

The spelling of 685737360 in words is "six hundred eighty-five million, seven hundred thirty-seven thousand, three hundred sixty".