688207104 has 432 divisors, whose sum is σ = 2374899072. Its totient is φ = 197074944.

The previous prime is 688207097. The next prime is 688207129. The reversal of 688207104 is 401702886.

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18600174 + ... + 18600210.

Almost surely, 2^688207104 is an apocalyptic number.

688207104 is a gapful number since it is divisible by the number (64) 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 688207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187449536).

688207104 is an abundant number, since it is smaller than the sum of its proper divisors (1686691968).

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

688207104 is a wasteful number, since it uses less digits than its factorization.

688207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 688207104 is about 26233.7016831403. The cubic root of 688207104 is about 882.8895648112.

The spelling of 688207104 in words is "six hundred eighty-eight million, two hundred seven thousand, one hundred four".