1680015568 has 120 divisors (see below), whose sum is σ = 4348516320. Its totient is φ = 620040960.

The previous prime is 1680015551. The next prime is 1680015569. The reversal of 1680015568 is 8655100861.

It is a super-3 number, since 3×1680015568³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1680015568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680015569) 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, 158730 + ... + 168982.

It is an arithmetic number, because the mean of its divisors is an integer number (36237636).

Almost surely, 2^1680015568 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 1680015568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174258160).

1680015568 is an abundant number, since it is smaller than the sum of its proper divisors (2668500752).

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

1680015568 is a wasteful number, since it uses less digits than its factorization.

1680015568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 1680015568 is about 40987.9929735526. The cubic root of 1680015568 is about 1188.7880625642.

The spelling of 1680015568 in words is "one billion, six hundred eighty million, fifteen thousand, five hundred sixty-eight".