688485120 has 144 divisors (see below), whose sum is σ = 2252994912. Its totient is φ = 179077120.

The previous prime is 688485113. The next prime is 688485137. The reversal of 688485120 is 21584886.

688485120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 26239²-1.

It is a super-2 number, since 2×688485120² = 948023520922828800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155254 + ... + 159626.

It is an arithmetic number, because the mean of its divisors is an integer number (15645798).

Almost surely, 2^688485120 is an apocalyptic number.

688485120 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 688485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126497456).

688485120 is an abundant number, since it is smaller than the sum of its proper divisors (1564509792).

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

688485120 is a wasteful number, since it uses less digits than its factorization.

688485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 688485120 is about 26238.9999809444. Note that the first 4 decimals coincide. The cubic root of 688485120 is about 883.0084361891.

The spelling of 688485120 in words is "six hundred eighty-eight million, four hundred eighty-five thousand, one hundred twenty".