1687648560 has 320 divisors, whose sum is σ = 5879623680. Its totient is φ = 397762560.

The previous prime is 1687648553. The next prime is 1687648579. The reversal of 1687648560 is 658467861.

It is a Cunningham number, because it is equal to 41081²-1.

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, 10105597 + ... + 10105763.

It is an arithmetic number, because the mean of its divisors is an integer number (18373824).

Almost surely, 2^1687648560 is an apocalyptic number.

1687648560 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 1687648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939811840).

1687648560 is an abundant number, since it is smaller than the sum of its proper divisors (4191975120).

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

1687648560 is a wasteful number, since it uses less digits than its factorization.

1687648560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 1687648560 is about 41080.9999878289. Note that the first 4 decimals coincide. The cubic root of 1687648560 is about 1190.5857248843.

The spelling of 1687648560 in words is "one billion, six hundred eighty-seven million, six hundred forty-eight thousand, five hundred sixty".