688098120 has 128 divisors (see below), whose sum is σ = 2223158400. Its totient is φ = 169742336.

The previous prime is 688098119. The next prime is 688098157. The reversal of 688098120 is 21890886.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117502 + ... + 123218.

It is an arithmetic number, because the mean of its divisors is an integer number (17368425).

Almost surely, 2^688098120 is an apocalyptic number.

688098120 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 688098120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111579200).

688098120 is an abundant number, since it is smaller than the sum of its proper divisors (1535060280).

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

688098120 is a wasteful number, since it uses less digits than its factorization.

688098120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 688098120 is about 26231.6244254907. The cubic root of 688098120 is about 882.8429577577.

The spelling of 688098120 in words is "six hundred eighty-eight million, ninety-eight thousand, one hundred twenty".