687133764 has 72 divisors (see below), whose sum is σ = 1782307800. Its totient is φ = 223122432.

The previous prime is 687133757. The next prime is 687133781. The reversal of 687133764 is 467331786.

It can be written as a sum of positive squares in 4 ways, for example, as 219276864 + 467856900 = 14808^2 + 21630^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283084 + ... + 285500.

It is an arithmetic number, because the mean of its divisors is an integer number (24754275).

Almost surely, 2^687133764 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 687133764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891153900).

687133764 is an abundant number, since it is smaller than the sum of its proper divisors (1095174036).

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

687133764 is a wasteful number, since it uses less digits than its factorization.

687133764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2624 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 687133764 is about 26213.2364274235. The cubic root of 687133764 is about 882.4303359155.

The spelling of 687133764 in words is "six hundred eighty-seven million, one hundred thirty-three thousand, seven hundred sixty-four".