687516768 has 48 divisors (see below), whose sum is σ = 2005259760. Its totient is φ = 229171968.

The previous prime is 687516763. The next prime is 687516769. The reversal of 687516768 is 867615786.

687516768 is a `hidden beast` number, since 68 + 7 + 516 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687516763) 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, 397005 + ... + 398732.

It is an arithmetic number, because the mean of its divisors is an integer number (41776245).

Almost surely, 2^687516768 is an apocalyptic number.

It is an amenable number.

687516768 is an abundant number, since it is smaller than the sum of its proper divisors (1317742992).

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

687516768 is a wasteful number, since it uses less digits than its factorization.

687516768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795756 (or 795742 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 687516768 is about 26220.5409555181. The cubic root of 687516768 is about 882.5942591527.

The spelling of 687516768 in words is "six hundred eighty-seven million, five hundred sixteen thousand, seven hundred sixty-eight".