687087360 has 324 divisors, whose sum is σ = 2518866168. Its totient is φ = 179324928.

The previous prime is 687087337. The next prime is 687087361. The reversal of 687087360 is 63780786.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687087361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14618857 + ... + 14618903.

Almost surely, 2^687087360 is an apocalyptic number.

687087360 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 687087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259433084).

687087360 is an abundant number, since it is smaller than the sum of its proper divisors (1831778808).

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

687087360 is an frugal number, since it uses more digits than its factorization.

687087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 687087360 is about 26212.3512871318. The cubic root of 687087360 is about 882.4104711666.

The spelling of 687087360 in words is "six hundred eighty-seven million, eighty-seven thousand, three hundred sixty".