1138861584 has 120 divisors (see below), whose sum is σ = 3694084992. Its totient is φ = 320785920.

The previous prime is 1138861571. The next prime is 1138861589. The reversal of 1138861584 is 4851688311.

1138861584 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 8 + 61 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138861589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63612 + ... + 79524.

Almost surely, 2^1138861584 is an apocalyptic number.

1138861584 is a gapful number since it is divisible by the number (14) 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 1138861584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847042496).

1138861584 is an abundant number, since it is smaller than the sum of its proper divisors (2555223408).

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

1138861584 is a wasteful number, since it uses less digits than its factorization.

1138861584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16005 (or 15996 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 1138861584 is about 33747.0233353995. The cubic root of 1138861584 is about 1044.2960802017.

The spelling of 1138861584 in words is "one billion, one hundred thirty-eight million, eight hundred sixty-one thousand, five hundred eighty-four".