1687668864 has 256 divisors, whose sum is σ = 5358182400. Its totient is φ = 460615680.

The previous prime is 1687668847. The next prime is 1687668919. The reversal of 1687668864 is 4688667861.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1687668798 and 1687668807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7061257 + ... + 7061495.

It is an arithmetic number, because the mean of its divisors is an integer number (20930400).

Almost surely, 2^1687668864 is an apocalyptic number.

1687668864 is a gapful number since it is divisible by the number (14) 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 1687668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679091200).

1687668864 is an abundant number, since it is smaller than the sum of its proper divisors (3670513536).

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

1687668864 is a wasteful number, since it uses less digits than its factorization.

1687668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 1687668864 is about 41081.2471086261. The cubic root of 1687668864 is about 1190.5904994873.

The spelling of 1687668864 in words is "one billion, six hundred eighty-seven million, six hundred sixty-eight thousand, eight hundred sixty-four".