1687603264 has 56 divisors (see below), whose sum is σ = 3490127640. Its totient is φ = 808636416.

The previous prime is 1687603249. The next prime is 1687603273. The reversal of 1687603264 is 4623067861.

It can be written as a sum of positive squares in 4 ways, for example, as 22963264 + 1664640000 = 4792^2 + 40800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1687603264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250954 + ... + 257590.

Almost surely, 2^1687603264 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 1687603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745063820).

1687603264 is an abundant number, since it is smaller than the sum of its proper divisors (1802524376).

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

1687603264 is a wasteful number, since it uses less digits than its factorization.

1687603264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 1687603264 is about 41080.4486830414. The cubic root of 1687603264 is about 1190.5750731300.

The spelling of 1687603264 in words is "one billion, six hundred eighty-seven million, six hundred three thousand, two hundred sixty-four".