1681163960 has 32 divisors (see below), whose sum is σ = 4322993760. Its totient is φ = 576398976.

The previous prime is 1681163951. The next prime is 1681163971. The reversal of 1681163960 is 693611861.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3001799 + ... + 3002358.

It is an arithmetic number, because the mean of its divisors is an integer number (135093555).

Almost surely, 2^1681163960 is an apocalyptic number.

1681163960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681163960 is an abundant number, since it is smaller than the sum of its proper divisors (2641829800).

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

1681163960 is a wasteful number, since it uses less digits than its factorization.

1681163960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004175 (or 6004171 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 1681163960 is about 41001.9994634408. Note that the first 3 decimals coincide. The cubic root of 1681163960 is about 1189.0588703234.

The spelling of 1681163960 in words is "one billion, six hundred eighty-one million, one hundred sixty-three thousand, nine hundred sixty".