1030268816 has 60 divisors (see below), whose sum is σ = 2143266468. Its totient is φ = 479625216.

The previous prime is 1030268809. The next prime is 1030268821. The reversal of 1030268816 is 6188620301.

1030268816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 65545216 + 964723600 = 8096^2 + 31060^2 .

It is a super-2 number, since 2×1030268816² = 2122907666444083712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447380 + ... + 449676.

Almost surely, 2^1030268816 is an apocalyptic number.

1030268816 is a gapful number since it is divisible by the number (16) 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 1030268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071633234).

1030268816 is an abundant number, since it is smaller than the sum of its proper divisors (1112997652).

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

1030268816 is a wasteful number, since it uses less digits than its factorization.

1030268816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 1030268816 is about 32097.8007969393. The cubic root of 1030268816 is about 1009.9894832745.

The spelling of 1030268816 in words is "one billion, thirty million, two hundred sixty-eight thousand, eight hundred sixteen".