1687904672 has 48 divisors (see below), whose sum is σ = 3532052160. Its totient is φ = 791741952.

The previous prime is 1687904639. The next prime is 1687904677. The reversal of 1687904672 is 2764097861.

It is a self number, because there is not a number n which added to its sum of digits gives 1687904672.

It is not an unprimeable number, because it can be changed into a prime (1687904677) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49148 + ... + 76100.

It is an arithmetic number, because the mean of its divisors is an integer number (73584420).

Almost surely, 2^1687904672 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 1687904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766026080).

1687904672 is an abundant number, since it is smaller than the sum of its proper divisors (1844147488).

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

1687904672 is a wasteful number, since it uses less digits than its factorization.

1687904672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27085 (or 27077 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 1687904672 is about 41084.1170283602. The cubic root of 1687904672 is about 1190.6459482972.

The spelling of 1687904672 in words is "one billion, six hundred eighty-seven million, nine hundred four thousand, six hundred seventy-two".