687080460 has 96 divisors (see below), whose sum is σ = 2149991424. Its totient is φ = 162496000.

The previous prime is 687080389. The next prime is 687080461. The reversal of 687080460 is 64080786.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (687080461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14365 + ... + 39755.

It is an arithmetic number, because the mean of its divisors is an integer number (22395744).

Almost surely, 2^687080460 is an apocalyptic number.

687080460 is a gapful number since it is divisible by the number (60) 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 687080460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074995712).

687080460 is an abundant number, since it is smaller than the sum of its proper divisors (1462910964).

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

687080460 is a wasteful number, since it uses less digits than its factorization.

687080460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25455 (or 25453 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 687080460 is about 26212.2196694595. The cubic root of 687080460 is about 882.4075173197.

The spelling of 687080460 in words is "six hundred eighty-seven million, eighty thousand, four hundred sixty".