687291360 has 384 divisors, whose sum is σ = 2605768704. Its totient is φ = 149022720.

The previous prime is 687291349. The next prime is 687291383. The reversal of 687291360 is 63192786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9680125 + ... + 9680195.

It is an arithmetic number, because the mean of its divisors is an integer number (6785856).

Almost surely, 2^687291360 is an apocalyptic number.

687291360 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 687291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302884352).

687291360 is an abundant number, since it is smaller than the sum of its proper divisors (1918477344).

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

687291360 is a wasteful number, since it uses less digits than its factorization.

687291360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 687291360 is about 26216.2422936621. The cubic root of 687291360 is about 882.4977933588.

The spelling of 687291360 in words is "six hundred eighty-seven million, two hundred ninety-one thousand, three hundred sixty".