682545600 has 504 divisors, whose sum is σ = 2751490560. Its totient is φ = 158976000.

The previous prime is 682545593. The next prime is 682545691. The reversal of 682545600 is 6545286.

682545600 is a `hidden beast` number, since 6 + 8 + 2 + 5 + 45 + 600 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 4910331 + ... + 4910469.

Almost surely, 2^682545600 is an apocalyptic number.

682545600 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 682545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375745280).

682545600 is an abundant number, since it is smaller than the sum of its proper divisors (2068944960).

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

682545600 is a wasteful number, since it uses less digits than its factorization.

682545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 682545600 is about 26125.5736779118. The cubic root of 682545600 is about 880.4618787470.

It can be divided in two parts, 6825 and 45600, that added together give a palindrome (52425).

The spelling of 682545600 in words is "six hundred eighty-two million, five hundred forty-five thousand, six hundred".