687677120 has 112 divisors (see below), whose sum is σ = 1797344640. Its totient is φ = 249040896.

The previous prime is 687677119. The next prime is 687677141. The reversal of 687677120 is 21776786.

687677120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 218921 + ... + 222039.

It is an arithmetic number, because the mean of its divisors is an integer number (16047720).

Almost surely, 2^687677120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898672320).

687677120 is an abundant number, since it is smaller than the sum of its proper divisors (1109667520).

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

687677120 is a wasteful number, since it uses less digits than its factorization.

687677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 687677120 is about 26223.5985326194. The cubic root of 687677120 is about 882.6628706929.

The spelling of 687677120 in words is "six hundred eighty-seven million, six hundred seventy-seven thousand, one hundred twenty".