1687085880 has 64 divisors (see below), whose sum is σ = 5281320960. Its totient is φ = 430328448.

The previous prime is 1687085879. The next prime is 1687085887. The reversal of 1687085880 is 885807861.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687085887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302872 + ... + 308391.

It is an arithmetic number, because the mean of its divisors is an integer number (82520640).

Almost surely, 2^1687085880 is an apocalyptic number.

1687085880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687085880 is an abundant number, since it is smaller than the sum of its proper divisors (3594235080).

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

1687085880 is a wasteful number, since it uses less digits than its factorization.

1687085880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611300 (or 611296 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 51.

The square root of 1687085880 is about 41074.1509954862. The cubic root of 1687085880 is about 1190.4533921902.

The spelling of 1687085880 in words is "one billion, six hundred eighty-seven million, eighty-five thousand, eight hundred eighty".