1063567872 has 120 divisors (see below), whose sum is σ = 3250328796. Its totient is φ = 333643776.

The previous prime is 1063567861. The next prime is 1063567919. The reversal of 1063567872 is 2787653601.

1063567872 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 567 + 87 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 865771776 + 197796096 = 29424^2 + 14064^2 .

It is a super-2 number, since 2×1063567872² = 2262353236701216768, 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, 71548 + ... + 85124.

Almost surely, 2^1063567872 is an apocalyptic number.

1063567872 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 1063567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625164398).

1063567872 is an abundant number, since it is smaller than the sum of its proper divisors (2186760924).

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

1063567872 is a wasteful number, since it uses less digits than its factorization.

1063567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13618 (or 13599 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1063567872 is about 32612.3883210046. The cubic root of 1063567872 is about 1020.7555186771.

The spelling of 1063567872 in words is "one billion, sixty-three million, five hundred sixty-seven thousand, eight hundred seventy-two".