685678000 has 320 divisors, whose sum is σ = 2083580928. Its totient is φ = 212889600.

The previous prime is 685677989. The next prime is 685678009. The reversal of 685678000 is 876586.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (685678009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10233967 + ... + 10234033.

Almost surely, 2^685678000 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 685678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041790464).

685678000 is an abundant number, since it is smaller than the sum of its proper divisors (1397902928).

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

685678000 is a wasteful number, since it uses less digits than its factorization.

685678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 685678000 is about 26185.4539773516. The cubic root of 685678000 is about 881.8067219772.

It can be divided in two parts, 68567 and 8000, that added together give a palindrome (76567).

The spelling of 685678000 in words is "six hundred eighty-five million, six hundred seventy-eight thousand".