687545280 has 448 divisors, whose sum is σ = 2668584960. Its totient is φ = 165888000.

The previous prime is 687545273. The next prime is 687545293. The reversal of 687545280 is 82545786.

687545280 is a `hidden beast` number, since 6 + 87 + 545 + 28 + 0 = 666.

687545280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4553205 + ... + 4553355.

Almost surely, 2^687545280 is an apocalyptic number.

687545280 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 687545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

687545280 is an abundant number, since it is smaller than the sum of its proper divisors (1981039680).

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

687545280 is a wasteful number, since it uses less digits than its factorization.

687545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 687545280 is about 26221.0846457579. The cubic root of 687545280 is about 882.6064596695.

The spelling of 687545280 in words is "six hundred eighty-seven million, five hundred forty-five thousand, two hundred eighty".