687838464 has 108 divisors (see below), whose sum is σ = 2008843200. Its totient is φ = 226317312.

The previous prime is 687838453. The next prime is 687838493. The reversal of 687838464 is 464838786.

It is a self number, because there is not a number n which added to its sum of digits gives 687838464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180127 + ... + 183905.

It is an arithmetic number, because the mean of its divisors is an integer number (18600400).

Almost surely, 2^687838464 is an apocalyptic number.

687838464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004421600).

687838464 is an abundant number, since it is smaller than the sum of its proper divisors (1321004736).

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

687838464 is a wasteful number, since it uses less digits than its factorization.

687838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3863 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 687838464 is about 26226.6746653097. The cubic root of 687838464 is about 882.7318959268.

The spelling of 687838464 in words is "six hundred eighty-seven million, eight hundred thirty-eight thousand, four hundred sixty-four".