685820160 has 216 divisors, whose sum is σ = 2438512440. Its totient is φ = 177831936.

The previous prime is 685820087. The next prime is 685820173. The reversal of 685820160 is 61028586.

It is a happy number.

685820160 is a `hidden beast` number, since 68 + 582 + 0 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 398721024 + 287099136 = 19968^2 + 16944^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425436 + ... + 427044.

Almost surely, 2^685820160 is an apocalyptic number.

685820160 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 685820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219256220).

685820160 is an abundant number, since it is smaller than the sum of its proper divisors (1752692280).

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

685820160 is a wasteful number, since it uses less digits than its factorization.

685820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 685820160 is about 26188.1683208276. The cubic root of 685820160 is about 881.8676587343.

The spelling of 685820160 in words is "six hundred eighty-five million, eight hundred twenty thousand, one hundred sixty".