1056535584 has 192 divisors, whose sum is σ = 3330149760. Its totient is φ = 289751040.

The previous prime is 1056535577. The next prime is 1056535609. The reversal of 1056535584 is 4855356501.

It is a happy number.

It is a super-2 number, since 2×1056535584² = 2232534880516442112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401794 + ... + 404414.

It is an arithmetic number, because the mean of its divisors is an integer number (17344530).

Almost surely, 2^1056535584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056535584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665074880).

1056535584 is an abundant number, since it is smaller than the sum of its proper divisors (2273614176).

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

1056535584 is a wasteful number, since it uses less digits than its factorization.

1056535584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The square root of 1056535584 is about 32504.3933030598. The cubic root of 1056535584 is about 1018.5008040975.

The spelling of 1056535584 in words is "one billion, fifty-six million, five hundred thirty-five thousand, five hundred eighty-four".