687375648 has 72 divisors (see below), whose sum is σ = 2017806336. Its totient is φ = 221731200.

The previous prime is 687375641. The next prime is 687375649. The reversal of 687375648 is 846573786.

687375648 is a `hidden beast` number, since 6 + 8 + 73 + 7 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 687375594 and 687375603.

It is not an unprimeable number, because it can be changed into a prime (687375641) by changing a digit.

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, 29568 + ... + 47423.

It is an arithmetic number, because the mean of its divisors is an integer number (28025088).

Almost surely, 2^687375648 is an apocalyptic number.

It is an amenable number.

687375648 is an abundant number, since it is smaller than the sum of its proper divisors (1330430688).

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

687375648 is a wasteful number, since it uses less digits than its factorization.

687375648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77038 (or 77027 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 687375648 is about 26217.8497974186. The cubic root of 687375648 is about 882.5338677894.

The spelling of 687375648 in words is "six hundred eighty-seven million, three hundred seventy-five thousand, six hundred forty-eight".