687432096 has 240 divisors, whose sum is σ = 2274459264. Its totient is φ = 202093056.

The previous prime is 687432089. The next prime is 687432107. The reversal of 687432096 is 690234786.

It is a super-3 number, since 3×687432096³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 774565 + ... + 775451.

Almost surely, 2^687432096 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 687432096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137229632).

687432096 is an abundant number, since it is smaller than the sum of its proper divisors (1587027168).

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

687432096 is a wasteful number, since it uses less digits than its factorization.

687432096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 687432096 is about 26218.9262938054. The cubic root of 687432096 is about 882.5580253265.

The spelling of 687432096 in words is "six hundred eighty-seven million, four hundred thirty-two thousand, ninety-six".