682665984 has 576 divisors, whose sum is σ = 2718817920. Its totient is φ = 159252480.

The previous prime is 682665961. The next prime is 682666043. The reversal of 682665984 is 489566286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (4976640) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 682665984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18450414 + ... + 18450450.

It is an arithmetic number, because the mean of its divisors is an integer number (4720170).

Almost surely, 2^682665984 is an apocalyptic number.

682665984 is a gapful number since it is divisible by the number (64) 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 682665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359408960).

682665984 is an abundant number, since it is smaller than the sum of its proper divisors (2036151936).

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

682665984 is a wasteful number, since it uses less digits than its factorization.

682665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 682665984 is about 26127.8775257387. The cubic root of 682665984 is about 880.5136395338.

It can be divided in two parts, 682 and 665984, that added together give a palindrome (666666).

The spelling of 682665984 in words is "six hundred eighty-two million, six hundred sixty-five thousand, nine hundred eighty-four".