1030563072 has 432 divisors, whose sum is σ = 3828918912. Its totient is φ = 258785280.

The previous prime is 1030563067. The next prime is 1030563143. The reversal of 1030563072 is 2703650301.

It is a happy number.

1030563072 is a `hidden beast` number, since 1 + 0 + 30 + 563 + 0 + 72 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6564018 + ... + 6564174.

Almost surely, 2^1030563072 is an apocalyptic number.

1030563072 is a gapful number since it is divisible by the number (12) 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 1030563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914459456).

1030563072 is an abundant number, since it is smaller than the sum of its proper divisors (2798355840).

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

1030563072 is a wasteful number, since it uses less digits than its factorization.

1030563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1030563072 is about 32102.3842105224. The cubic root of 1030563072 is about 1010.0856287889.

The spelling of 1030563072 in words is "one billion, thirty million, five hundred sixty-three thousand, seventy-two".