682311168 has 320 divisors, whose sum is σ = 2521981440. Its totient is φ = 176947200.

The previous prime is 682311131. The next prime is 682311181. The reversal of 682311168 is 861113286.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064128 + ... + 1064768.

It is an arithmetic number, because the mean of its divisors is an integer number (7881192).

Almost surely, 2^682311168 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 682311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260990720).

682311168 is an abundant number, since it is smaller than the sum of its proper divisors (1839670272).

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

682311168 is a wasteful number, since it uses less digits than its factorization.

682311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 682311168 is about 26121.0866542723. The cubic root of 682311168 is about 880.3610639564.

The spelling of 682311168 in words is "six hundred eighty-two million, three hundred eleven thousand, one hundred sixty-eight".