687552640 has 64 divisors (see below), whose sum is σ = 1666941120. Its totient is φ = 271129600.

The previous prime is 687552559. The next prime is 687552673. The reversal of 687552640 is 46255786.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 37875 + ... + 53005.

It is an arithmetic number, because the mean of its divisors is an integer number (26045955).

Almost surely, 2^687552640 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 687552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833470560).

687552640 is an abundant number, since it is smaller than the sum of its proper divisors (979388480).

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

687552640 is a wasteful number, since it uses less digits than its factorization.

687552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15221 (or 15209 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The square root of 687552640 is about 26221.2249904538. The cubic root of 687552640 is about 882.6096090186.

The spelling of 687552640 in words is "six hundred eighty-seven million, five hundred fifty-two thousand, six hundred forty".