1680231168 has 648 divisors, whose sum is σ = 6508136880. Its totient is φ = 425779200.

The previous prime is 1680231143. The next prime is 1680231181. The reversal of 1680231168 is 8611320861.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40981228 + ... + 40981268.

Almost surely, 2^1680231168 is an apocalyptic number.

1680231168 is a gapful number since it is divisible by the number (18) 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 1680231168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254068440).

1680231168 is an abundant number, since it is smaller than the sum of its proper divisors (4827905712).

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

1680231168 is a wasteful number, since it uses less digits than its factorization.

1680231168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1680231168 is about 40990.6229276892. The cubic root of 1680231168 is about 1188.8389136293.

The spelling of 1680231168 in words is "one billion, six hundred eighty million, two hundred thirty-one thousand, one hundred sixty-eight".