1680163056 has 240 divisors, whose sum is σ = 5573393280. Its totient is φ = 465799680.

The previous prime is 1680163033. The next prime is 1680163061. The reversal of 1680163056 is 6503610861.

It is a happy number.

1680163056 is a `hidden beast` number, since 16 + 8 + 0 + 1 + 630 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1680163056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2861995 + ... + 2862581.

It is an arithmetic number, because the mean of its divisors is an integer number (23222472).

Almost surely, 2^1680163056 is an apocalyptic number.

1680163056 is a gapful number since it is divisible by the number (16) 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 1680163056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786696640).

1680163056 is an abundant number, since it is smaller than the sum of its proper divisors (3893230224).

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

1680163056 is a wasteful number, since it uses less digits than its factorization.

1680163056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1680163056 is about 40989.7920951058. The cubic root of 1680163056 is about 1188.8228493139.

The spelling of 1680163056 in words is "one billion, six hundred eighty million, one hundred sixty-three thousand, fifty-six".