1026303040 has 336 divisors, whose sum is σ = 3069915120. Its totient is φ = 325140480.

The previous prime is 1026303013. The next prime is 1026303049. The reversal of 1026303040 is 403036201.

It can be written as a sum of positive squares in 8 ways, for example, as 18113536 + 1008189504 = 4256^2 + 31752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1026302999 and 1026303017.

It is not an unprimeable number, because it can be changed into a prime (1026303049) 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 47 ways as a sum of consecutive naturals, for example, 16824610 + ... + 16824670.

Almost surely, 2^1026303040 is an apocalyptic number.

1026303040 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 1026303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534957560).

1026303040 is an abundant number, since it is smaller than the sum of its proper divisors (2043612080).

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

1026303040 is a wasteful number, since it uses less digits than its factorization.

1026303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1026303040 is about 32035.9647895923. The cubic root of 1026303040 is about 1008.6919117802.

Adding to 1026303040 its reverse (403036201), we get a palindrome (1429339241).

The spelling of 1026303040 in words is "one billion, twenty-six million, three hundred three thousand, forty".