687785560 has 384 divisors, whose sum is σ = 2186611200. Its totient is φ = 191600640.

The previous prime is 687785543. The next prime is 687785569. The reversal of 687785560 is 65587786.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 687785498 and 687785507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687785569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9421684 + ... + 9421756.

It is an arithmetic number, because the mean of its divisors is an integer number (5694300).

Almost surely, 2^687785560 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 687785560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093305600).

687785560 is an abundant number, since it is smaller than the sum of its proper divisors (1498825640).

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

687785560 is a wasteful number, since it uses less digits than its factorization.

687785560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The square root of 687785560 is about 26225.6660544589. Note that the first 3 decimals coincide. The cubic root of 687785560 is about 882.7092640405.

The spelling of 687785560 in words is "six hundred eighty-seven million, seven hundred eighty-five thousand, five hundred sixty".