685950768 has 200 divisors, whose sum is σ = 2120065200. Its totient is φ = 213497856.

The previous prime is 685950763. The next prime is 685950791. The reversal of 685950768 is 867059586.

It is a super-2 number, since 2×685950768² = 941056912239579648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (685950763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2191380 + ... + 2191692.

It is an arithmetic number, because the mean of its divisors is an integer number (10600326).

Almost surely, 2^685950768 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 685950768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060032600).

685950768 is an abundant number, since it is smaller than the sum of its proper divisors (1434114432).

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

685950768 is a wasteful number, since it uses less digits than its factorization.

685950768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 685950768 is about 26190.6618473073. The cubic root of 685950768 is about 881.9236363152.

The spelling of 685950768 in words is "six hundred eighty-five million, nine hundred fifty thousand, seven hundred sixty-eight".