682417792 has 64 divisors (see below), whose sum is σ = 1607356800. Its totient is φ = 282369024.

The previous prime is 682417741. The next prime is 682417793. The reversal of 682417792 is 297714286.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (682417793) 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 7 ways as a sum of consecutive naturals, for example, 12853 + ... + 39115.

It is an arithmetic number, because the mean of its divisors is an integer number (25114950).

Almost surely, 2^682417792 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 682417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803678400).

682417792 is an abundant number, since it is smaller than the sum of its proper divisors (924939008).

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

682417792 is a wasteful number, since it uses less digits than its factorization.

682417792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26313 (or 26301 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 682417792 is about 26123.1275309830. The cubic root of 682417792 is about 880.4069192462.

The spelling of 682417792 in words is "six hundred eighty-two million, four hundred seventeen thousand, seven hundred ninety-two".