1687466880 has 192 divisors, whose sum is σ = 6357003120. Its totient is φ = 409067520.

The previous prime is 1687466857. The next prime is 1687466887. The reversal of 1687466880 is 886647861.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687466887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50044 + ... + 76676.

Almost surely, 2^1687466880 is an apocalyptic number.

1687466880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1687466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178501560).

1687466880 is an abundant number, since it is smaller than the sum of its proper divisors (4669536240).

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

1687466880 is a wasteful number, since it uses less digits than its factorization.

1687466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26669 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 1687466880 is about 41078.7886871071. The cubic root of 1687466880 is about 1190.5430000774.

The spelling of 1687466880 in words is "one billion, six hundred eighty-seven million, four hundred sixty-six thousand, eight hundred eighty".