1680682656 has 96 divisors (see below), whose sum is σ = 4497776640. Its totient is φ = 549409536.

The previous prime is 1680682643. The next prime is 1680682711. The reversal of 1680682656 is 6562860861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1265865 + ... + 1267191.

It is an arithmetic number, because the mean of its divisors is an integer number (46851840).

Almost surely, 2^1680682656 is an apocalyptic number.

1680682656 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 1680682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248888320).

1680682656 is an abundant number, since it is smaller than the sum of its proper divisors (2817093984).

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

1680682656 is a wasteful number, since it uses less digits than its factorization.

1680682656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 1680682656 is about 40996.1297685525. The cubic root of 1680682656 is about 1188.9453867633.

The spelling of 1680682656 in words is "one billion, six hundred eighty million, six hundred eighty-two thousand, six hundred fifty-six".