685310080 has 288 divisors, whose sum is σ = 2103679620. Its totient is φ = 211599360.

The previous prime is 685310071. The next prime is 685310099. The reversal of 685310080 is 80013586.

It can be written as a sum of positive squares in 6 ways, for example, as 1382976 + 683927104 = 1176^2 + 26152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16714860 + ... + 16714900.

Almost surely, 2^685310080 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 685310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051839810).

685310080 is an abundant number, since it is smaller than the sum of its proper divisors (1418369540).

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

685310080 is a wasteful number, since it uses less digits than its factorization.

685310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 685310080 is about 26178.4277602762. The cubic root of 685310080 is about 881.6489742810.

The spelling of 685310080 in words is "six hundred eighty-five million, three hundred ten thousand, eighty".