687842712 has 128 divisors (see below), whose sum is σ = 2129760000. Its totient is φ = 204415488.

The previous prime is 687842711. The next prime is 687842713. The reversal of 687842712 is 217248786.

It is an interprime number because it is at equal distance from previous prime (687842711) and next prime (687842713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687842711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64839 + ... + 74697.

It is an arithmetic number, because the mean of its divisors is an integer number (16638750).

Almost surely, 2^687842712 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 687842712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064880000).

687842712 is an abundant number, since it is smaller than the sum of its proper divisors (1441917288).

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

687842712 is a wasteful number, since it uses less digits than its factorization.

687842712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 9900 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 687842712 is about 26226.7556514335. The cubic root of 687842712 is about 882.7337131351.

It can be divided in two parts, 68 and 7842712, that added together give a triangular number (7842780 = T₃₉₆₀).

The spelling of 687842712 in words is "six hundred eighty-seven million, eight hundred forty-two thousand, seven hundred twelve".