1687631568 has 320 divisors, whose sum is σ = 5500600320. Its totient is φ = 435456000.

The previous prime is 1687631549. The next prime is 1687631573. The reversal of 1687631568 is 8651367861.

It is a self number, because there is not a number n which added to its sum of digits gives 1687631568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11176293 + ... + 11176443.

It is an arithmetic number, because the mean of its divisors is an integer number (17189376).

Almost surely, 2^1687631568 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 1687631568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750300160).

1687631568 is an abundant number, since it is smaller than the sum of its proper divisors (3812968752).

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

1687631568 is a wasteful number, since it uses less digits than its factorization.

1687631568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1687631568 is about 41080.7931763738. The cubic root of 1687631568 is about 1190.5817290879.

The spelling of 1687631568 in words is "one billion, six hundred eighty-seven million, six hundred thirty-one thousand, five hundred sixty-eight".