1063584 has 48 divisors (see below), whose sum is σ = 3104640. Its totient is φ = 354240.

The previous prime is 1063561. The next prime is 1063597. The reversal of 1063584 is 4853601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1063584² = 2262421850112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

2^1063584 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 1063584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320).

1063584 is an abundant number, since it is smaller than the sum of its proper divisors (2041056).

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

1063584 is a wasteful number, since it uses less digits than its factorization.

1063584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1063584 is about 1031.3020895935. The cubic root of 1063584 is about 102.0760678248.

Adding to 1063584 its sum of digits (27), we get a triangular number (1063611 = T₁₄₅₈).

The spelling of 1063584 in words is "one million, sixty-three thousand, five hundred eighty-four".