688990200 has 96 divisors (see below), whose sum is σ = 2172182400. Its totient is φ = 180607360.

The previous prime is 688990193. The next prime is 688990201. The reversal of 688990200 is 2099886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688990201) 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, 25669 + ... + 45131.

It is an arithmetic number, because the mean of its divisors is an integer number (22626900).

Almost surely, 2^688990200 is an apocalyptic number.

688990200 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 688990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086091200).

688990200 is an abundant number, since it is smaller than the sum of its proper divisors (1483192200).

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

688990200 is a wasteful number, since it uses less digits than its factorization.

688990200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19541 (or 19532 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 688990200 is about 26248.6228210167. The cubic root of 688990200 is about 883.2243115321.

The spelling of 688990200 in words is "six hundred eighty-eight million, nine hundred ninety thousand, two hundred".