1387584 has 112 divisors (see below), whose sum is σ = 4511040. Its totient is φ = 414720.

The previous prime is 1387583. The next prime is 1387597. The reversal of 1387584 is 4857831.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (26880) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (1387583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18972 + ... + 19044.

2^1387584 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 1387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255520).

1387584 is an abundant number, since it is smaller than the sum of its proper divisors (3123456).

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

1387584 is a wasteful number, since it uses less digits than its factorization.

1387584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1387584 is about 1177.9575544136. The cubic root of 1387584 is about 111.5372059739.

The spelling of 1387584 in words is "one million, three hundred eighty-seven thousand, five hundred eighty-four".