687288564 has 72 divisors (see below), whose sum is σ = 1806368928. Its totient is φ = 228497760.

The previous prime is 687288551. The next prime is 687288583. The reversal of 687288564 is 465882786.

687288564 is a `hidden beast` number, since 6 + 8 + 72 + 8 + 8 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 687288564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525199 + ... + 526505.

Almost surely, 2^687288564 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 687288564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903184464).

687288564 is an abundant number, since it is smaller than the sum of its proper divisors (1119080364).

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

687288564 is a wasteful number, since it uses less digits than its factorization.

687288564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1853 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 687288564 is about 26216.1889678878. The cubic root of 687288564 is about 882.4965966479.

The spelling of 687288564 in words is "six hundred eighty-seven million, two hundred eighty-eight thousand, five hundred sixty-four".