687052768 has 48 divisors (see below), whose sum is σ = 1454181120. Its totient is φ = 318508416.

The previous prime is 687052763. The next prime is 687052789. The reversal of 687052768 is 867250786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687052763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16555 + ... + 40597.

It is an arithmetic number, because the mean of its divisors is an integer number (30295440).

Almost surely, 2^687052768 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 687052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727090560).

687052768 is an abundant number, since it is smaller than the sum of its proper divisors (767128352).

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

687052768 is a wasteful number, since it uses less digits than its factorization.

687052768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24119 (or 24111 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The square root of 687052768 is about 26211.6914372194. The cubic root of 687052768 is about 882.3956623484.

The spelling of 687052768 in words is "six hundred eighty-seven million, fifty-two thousand, seven hundred sixty-eight".