687086036 has 72 divisors (see below), whose sum is σ = 1543277736. Its totient is φ = 265144320.

The previous prime is 687086033. The next prime is 687086039. The reversal of 687086036 is 630680786.

It is an interprime number because it is at equal distance from previous prime (687086033) and next prime (687086039).

It can be written as a sum of positive squares in 4 ways, for example, as 44970436 + 642115600 = 6706^2 + 25340^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687086033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101180 + ... + 107756.

It is an arithmetic number, because the mean of its divisors is an integer number (21434413).

Almost surely, 2^687086036 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 687086036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771638868).

687086036 is an abundant number, since it is smaller than the sum of its proper divisors (856191700).

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

687086036 is a wasteful number, since it uses less digits than its factorization.

687086036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 687086036 is about 26212.3260318500. The cubic root of 687086036 is about 882.4099043720.

The spelling of 687086036 in words is "six hundred eighty-seven million, eighty-six thousand, thirty-six".