1683135168 has 168 divisors, whose sum is σ = 5272424304. Its totient is φ = 470722560.

The previous prime is 1683135161. The next prime is 1683135169. The reversal of 1683135168 is 8615313861.

It is not an unprimeable number, because it can be changed into a prime (1683135161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299230 + ... + 304802.

It is an arithmetic number, because the mean of its divisors is an integer number (31383478).

Almost surely, 2^1683135168 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 1683135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636212152).

1683135168 is an abundant number, since it is smaller than the sum of its proper divisors (3589289136).

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

1683135168 is a wasteful number, since it uses less digits than its factorization.

1683135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5602 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 1683135168 is about 41026.0303709730. The cubic root of 1683135168 is about 1189.5234228442.

The spelling of 1683135168 in words is "one billion, six hundred eighty-three million, one hundred thirty-five thousand, one hundred sixty-eight".