1031688168 has 128 divisors (see below), whose sum is σ = 3043526400. Its totient is φ = 285272064.

The previous prime is 1031688167. The next prime is 1031688169. The reversal of 1031688168 is 8618861301.

It is an interprime number because it is at equal distance from previous prime (1031688167) and next prime (1031688169).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1031688167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671796 + ... + 1672412.

It is an arithmetic number, because the mean of its divisors is an integer number (23777550).

Almost surely, 2^1031688168 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 1031688168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521763200).

1031688168 is an abundant number, since it is smaller than the sum of its proper divisors (2011838232).

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

1031688168 is a wasteful number, since it uses less digits than its factorization.

1031688168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1031688168 is about 32119.9029886455. The cubic root of 1031688168 is about 1010.4530751617.

The spelling of 1031688168 in words is "one billion, thirty-one million, six hundred eighty-eight thousand, one hundred sixty-eight".