1687325792 has 48 divisors (see below), whose sum is σ = 3485008800. Its totient is φ = 803066880.

The previous prime is 1687325771. The next prime is 1687325797. The reversal of 1687325792 is 2975237861.

It is a self number, because there is not a number n which added to its sum of digits gives 1687325792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687325797) by changing a digit.

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, 53084 + ... + 78692.

It is an arithmetic number, because the mean of its divisors is an integer number (72604350).

Almost surely, 2^1687325792 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 1687325792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742504400).

1687325792 is an abundant number, since it is smaller than the sum of its proper divisors (1797683008).

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

1687325792 is a wasteful number, since it uses less digits than its factorization.

1687325792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25719 (or 25711 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 1687325792 is about 41077.0713659092. The cubic root of 1687325792 is about 1190.5098189792.

The spelling of 1687325792 in words is "one billion, six hundred eighty-seven million, three hundred twenty-five thousand, seven hundred ninety-two".