687560160 has 576 divisors, whose sum is σ = 2779951104. Its totient is φ = 141926400.

The previous prime is 687560143. The next prime is 687560161. The reversal of 687560160 is 61065786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687560161) 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, 16769740 + ... + 16769780.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2^687560160 is an apocalyptic number.

687560160 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 687560160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389975552).

687560160 is an abundant number, since it is smaller than the sum of its proper divisors (2092390944).

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

687560160 is a wasteful number, since it uses less digits than its factorization.

687560160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 687560160 is about 26221.3683853456. The cubic root of 687560160 is about 882.6128268086.

The spelling of 687560160 in words is "six hundred eighty-seven million, five hundred sixty thousand, one hundred sixty".