682128600 has 96 divisors (see below), whose sum is σ = 2130072000. Its totient is φ = 180570240.

The previous prime is 682128593. The next prime is 682128647. The reversal of 682128600 is 6821286.

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, 79311 + ... + 87489.

It is an arithmetic number, because the mean of its divisors is an integer number (22188250).

Almost surely, 2^682128600 is an apocalyptic number.

682128600 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 682128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065036000).

682128600 is an abundant number, since it is smaller than the sum of its proper divisors (1447943400).

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

682128600 is a wasteful number, since it uses less digits than its factorization.

682128600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 682128600 is about 26117.5917725965. The cubic root of 682128600 is about 880.2825366883.

Adding to 682128600 its reverse (6821286), we get a palindrome (688949886).

682128600 divided by its reverse (6821286) gives a square (100 = 10²).

The spelling of 682128600 in words is "six hundred eighty-two million, one hundred twenty-eight thousand, six hundred".