8680100 has 72 divisors (see below), whose sum is σ = 22165248. Its totient is φ = 2908800.

The previous prime is 8680099. The next prime is 8680103. The reversal of 8680100 is 10868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8680103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13997 + ... + 14603.

Almost surely, 2^8680100 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 8680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082624).

8680100 is an abundant number, since it is smaller than the sum of its proper divisors (13485148).

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

8680100 is a wasteful number, since it uses less digits than its factorization.

8680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8680100 is about 2946.2009435882. The cubic root of 8680100 is about 205.5140776088.

Adding to 8680100 its reverse (10868), we get a palindrome (8690968).

The spelling of 8680100 in words is "eight million, six hundred eighty thousand, one hundred".