1680658056 has 432 divisors, whose sum is σ = 6055096320. Its totient is φ = 419126400.

The previous prime is 1680658051. The next prime is 1680658061. The reversal of 1680658056 is 6508560861.

1680658056 is a `hidden beast` number, since 1 + 68 + 0 + 6 + 580 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1680658051) and next prime (1680658061).

It is a super-2 number, since 2×1680658056² = 5649223002395398272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680658051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13233465 + ... + 13233591.

Almost surely, 2^1680658056 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 1680658056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027548160).

1680658056 is an abundant number, since it is smaller than the sum of its proper divisors (4374438264).

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

1680658056 is a wasteful number, since it uses less digits than its factorization.

1680658056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1680658056 is about 40995.8297391332. The cubic root of 1680658056 is about 1188.9395859063.

It can be divided in two parts, 168065 and 8056, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 1680658056 in words is "one billion, six hundred eighty million, six hundred fifty-eight thousand, fifty-six".