682306560 has 528 divisors, whose sum is σ = 2736036576. Its totient is φ = 155713536.

The previous prime is 682306553. The next prime is 682306561. The reversal of 682306560 is 65603286.

682306560 is a `hidden beast` number, since 68 + 2 + 30 + 6 + 560 = 666.

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

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (682306561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183647 + ... + 10183713.

Almost surely, 2^682306560 is an apocalyptic number.

682306560 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 682306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368018288).

682306560 is an abundant number, since it is smaller than the sum of its proper divisors (2053730016).

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

682306560 is a wasteful number, since it uses less digits than its factorization.

682306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 682306560 is about 26120.9984495233. The cubic root of 682306560 is about 880.3590821075.

The spelling of 682306560 in words is "six hundred eighty-two million, three hundred six thousand, five hundred sixty".