682882560 has 240 divisors, whose sum is σ = 2395735056. Its totient is φ = 179748864.

The previous prime is 682882507. The next prime is 682882609. The reversal of 682882560 is 65288286.

682882560 is a `hidden beast` number, since 6 + 8 + 2 + 8 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2465142 + ... + 2465418.

Almost surely, 2^682882560 is an apocalyptic number.

682882560 is a gapful number since it is divisible by the number (60) 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 682882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197867528).

682882560 is an abundant number, since it is smaller than the sum of its proper divisors (1712852496).

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

682882560 is a wasteful number, since it uses less digits than its factorization.

682882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 682882560 is about 26132.0217357938. The cubic root of 682882560 is about 880.6067440992.

The spelling of 682882560 in words is "six hundred eighty-two million, eight hundred eighty-two thousand, five hundred sixty".