688020120 has 48 divisors (see below), whose sum is σ = 2236066560. Its totient is φ = 183471936.

The previous prime is 688020101. The next prime is 688020131. The reversal of 688020120 is 21020886.

688020120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 955224 + ... + 955943.

It is an arithmetic number, because the mean of its divisors is an integer number (46584720).

Almost surely, 2^688020120 is an apocalyptic number.

688020120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688020120 is an abundant number, since it is smaller than the sum of its proper divisors (1548046440).

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

688020120 is a wasteful number, since it uses less digits than its factorization.

688020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911184 (or 1911177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 688020120 is about 26230.1376283084. The cubic root of 688020120 is about 882.8095980034.

It can be divided in two parts, 6880 and 20120, that added together give a cube (27000 = 30³).

The spelling of 688020120 in words is "six hundred eighty-eight million, twenty thousand, one hundred twenty".