687892608 has 256 divisors, whose sum is σ = 2231107200. Its totient is φ = 207360000.

The previous prime is 687892603. The next prime is 687892609. The reversal of 687892608 is 806298786.

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

It is not an unprimeable number, because it can be changed into a prime (687892603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2740483 + ... + 2740733.

Almost surely, 2^687892608 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 687892608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115553600).

687892608 is an abundant number, since it is smaller than the sum of its proper divisors (1543214592).

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

687892608 is a wasteful number, since it uses less digits than its factorization.

687892608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 687892608 is about 26227.7068765075. The cubic root of 687892608 is about 882.7550570730.

The spelling of 687892608 in words is "six hundred eighty-seven million, eight hundred ninety-two thousand, six hundred eight".