1056463584 has 144 divisors (see below), whose sum is σ = 3081326976. Its totient is φ = 316673280.

The previous prime is 1056463559. The next prime is 1056463609. The reversal of 1056463584 is 4853646501.

It is an interprime number because it is at equal distance from previous prime (1056463559) and next prime (1056463609).

It is a super-2 number, since 2×1056463584² = 2232230608636250112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196007 + ... + 1196889.

It is an arithmetic number, because the mean of its divisors is an integer number (21398104).

Almost surely, 2^1056463584 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 1056463584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540663488).

1056463584 is an abundant number, since it is smaller than the sum of its proper divisors (2024863392).

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

1056463584 is a wasteful number, since it uses less digits than its factorization.

1056463584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 1056463584 is about 32503.2857415985. The cubic root of 1056463584 is about 1018.4776675606.

The spelling of 1056463584 in words is "one billion, fifty-six million, four hundred sixty-three thousand, five hundred eighty-four".