687581352 has 128 divisors (see below), whose sum is σ = 1969968000. Its totient is φ = 222082560.

The previous prime is 687581347. The next prime is 687581359. The reversal of 687581352 is 253185786.

687581352 is a `hidden beast` number, since 68 + 7 + 581 + 3 + 5 + 2 = 666.

687581352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 687581298 and 687581307.

It is not an unprimeable number, because it can be changed into a prime (687581359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680924 + ... + 1681332.

It is an arithmetic number, because the mean of its divisors is an integer number (15390375).

Almost surely, 2^687581352 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 687581352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984984000).

687581352 is an abundant number, since it is smaller than the sum of its proper divisors (1282386648).

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

687581352 is a wasteful number, since it uses less digits than its factorization.

687581352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 638 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 687581352 is about 26221.7724801357. The cubic root of 687581352 is about 882.6218946885.

The spelling of 687581352 in words is "six hundred eighty-seven million, five hundred eighty-one thousand, three hundred fifty-two".