685804320 has 288 divisors, whose sum is σ = 2509678080. Its totient is φ = 176670720.

The previous prime is 685804319. The next prime is 685804321. The reversal of 685804320 is 23408586.

It is an interprime number because it is at equal distance from previous prime (685804319) and next prime (685804321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (685804321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204996 + ... + 1205564.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^685804320 is an apocalyptic number.

685804320 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 685804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

685804320 is an abundant number, since it is smaller than the sum of its proper divisors (1823873760).

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

685804320 is a wasteful number, since it uses less digits than its factorization.

685804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 685804320 is about 26187.8658924319. The cubic root of 685804320 is about 881.8608693494.

It can be divided in two parts, 68580 and 4320, that added together give a square (72900 = 270²).

The spelling of 685804320 in words is "six hundred eighty-five million, eight hundred four thousand, three hundred twenty".