1630983168 has 88 divisors (see below), whose sum is σ = 4830264960. Its totient is φ = 543651840.

The previous prime is 1630983139. The next prime is 1630983173. The reversal of 1630983168 is 8613890361.

It is a happy number.

1630983168 is a `hidden beast` number, since 1 + 630 + 9 + 8 + 3 + 1 + 6 + 8 = 666.

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 7 ways as a sum of consecutive naturals, for example, 1848 + ... + 57143.

Almost surely, 2^1630983168 is an apocalyptic number.

1630983168 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 1630983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415132480).

1630983168 is an abundant number, since it is smaller than the sum of its proper divisors (3199281792).

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

1630983168 is an equidigital number, since it uses as much as digits as its factorization.

1630983168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59020 (or 58996 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1630983168 is about 40385.4326211816. The cubic root of 1630983168 is about 1177.1084925041.

The spelling of 1630983168 in words is "one billion, six hundred thirty million, nine hundred eighty-three thousand, one hundred sixty-eight".