687414640 has 160 divisors (see below), whose sum is σ = 1803098880. Its totient is φ = 241612800.

The previous prime is 687414599. The next prime is 687414667. The reversal of 687414640 is 46414786.

687414640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 687414593 and 687414602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5247375 + ... + 5247505.

It is an arithmetic number, because the mean of its divisors is an integer number (11269368).

Almost surely, 2^687414640 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 687414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901549440).

687414640 is an abundant number, since it is smaller than the sum of its proper divisors (1115684240).

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

687414640 is a wasteful number, since it uses less digits than its factorization.

687414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 687414640 is about 26218.5934023929. The cubic root of 687414640 is about 882.5505549822.

The spelling of 687414640 in words is "six hundred eighty-seven million, four hundred fourteen thousand, six hundred forty".