680598900 has 108 divisors (see below), whose sum is σ = 2163549024. Its totient is φ = 178920000.

The previous prime is 680598889. The next prime is 680598901. The reversal of 680598900 is 9895086.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680598901) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 58575 + ... + 69225.

Almost surely, 2^680598900 is an apocalyptic number.

680598900 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 680598900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081774512).

680598900 is an abundant number, since it is smaller than the sum of its proper divisors (1482950124).

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

680598900 is a wasteful number, since it uses less digits than its factorization.

680598900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 680598900 is about 26088.2904767637. The cubic root of 680598900 is about 879.6240215493.

The spelling of 680598900 in words is "six hundred eighty million, five hundred ninety-eight thousand, nine hundred".