1031438160 has 120 divisors (see below), whose sum is σ = 3469704264. Its totient is φ = 274590720.

The previous prime is 1031438147. The next prime is 1031438167. The reversal of 1031438160 is 618341301.

It can be written as a sum of positive squares in 4 ways, for example, as 77369616 + 954068544 = 8796^2 + 30888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031438167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849714 + ... + 850926.

Almost surely, 2^1031438160 is an apocalyptic number.

1031438160 is a gapful number since it is divisible by the number (10) 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 1031438160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734852132).

1031438160 is an abundant number, since it is smaller than the sum of its proper divisors (2438266104).

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

1031438160 is a wasteful number, since it uses less digits than its factorization.

1031438160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1031438160 is about 32116.0109602672. The cubic root of 1031438160 is about 1010.3714478610.

Adding to 1031438160 its reverse (618341301), we get a palindrome (1649779461).

The spelling of 1031438160 in words is "one billion, thirty-one million, four hundred thirty-eight thousand, one hundred sixty".