687606312 has 64 divisors (see below), whose sum is σ = 1764504000. Its totient is φ = 223202304.

The previous prime is 687606281. The next prime is 687606317. The reversal of 687606312 is 213606786.

It is not an unprimeable number, because it can be changed into a prime (687606317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174864 + ... + 178752.

It is an arithmetic number, because the mean of its divisors is an integer number (27570375).

Almost surely, 2^687606312 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 687606312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882252000).

687606312 is an abundant number, since it is smaller than the sum of its proper divisors (1076897688).

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

687606312 is a wasteful number, since it uses less digits than its factorization.

687606312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 687606312 is about 26222.2484161828. The cubic root of 687606312 is about 882.6325746252.

The spelling of 687606312 in words is "six hundred eighty-seven million, six hundred six thousand, three hundred twelve".