1042815168 has 112 divisors (see below), whose sum is σ = 3104896000. Its totient is φ = 343160064.

The previous prime is 1042815167. The next prime is 1042815181. The reversal of 1042815168 is 8615182401.

It is a super-2 number, since 2×1042815168² = 2174926949221736448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1042815167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 132693 + ... + 140331.

Almost surely, 2^1042815168 is an apocalyptic number.

1042815168 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 1042815168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552448000).

1042815168 is an abundant number, since it is smaller than the sum of its proper divisors (2062080832).

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

1042815168 is an equidigital number, since it uses as much as digits as its factorization.

1042815168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7739 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1042815168 is about 32292.6488229132. The cubic root of 1042815168 is about 1014.0727513363.

Adding to 1042815168 its reverse (8615182401), we get a palindrome (9657997569).

The spelling of 1042815168 in words is "one billion, forty-two million, eight hundred fifteen thousand, one hundred sixty-eight".