1031343768 has 288 divisors, whose sum is σ = 3547908000. Its totient is φ = 268240896.

The previous prime is 1031343757. The next prime is 1031343773. The reversal of 1031343768 is 8673431301.

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

It is a congruent number.

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, 5182533 + ... + 5182731.

It is an arithmetic number, because the mean of its divisors is an integer number (12319125).

Almost surely, 2^1031343768 is an apocalyptic number.

1031343768 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 1031343768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773954000).

1031343768 is an abundant number, since it is smaller than the sum of its proper divisors (2516564232).

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

1031343768 is a wasteful number, since it uses less digits than its factorization.

1031343768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1031343768 is about 32114.5413792568. The cubic root of 1031343768 is about 1010.3406255604.

The spelling of 1031343768 in words is "one billion, thirty-one million, three hundred forty-three thousand, seven hundred sixty-eight".