1381584 has 40 divisors (see below), whose sum is σ = 3615840. Its totient is φ = 454528.

The previous prime is 1381559. The next prime is 1381609. The reversal of 1381584 is 4851831.

It is an interprime number because it is at equal distance from previous prime (1381559) and next prime (1381609).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5002 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (90396).

2^1381584 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 1381584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807920).

1381584 is an abundant number, since it is smaller than the sum of its proper divisors (2234256).

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

1381584 is a wasteful number, since it uses less digits than its factorization.

1381584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 1381584 is about 1175.4080142657. The cubic root of 1381584 is about 111.3762090787.

The spelling of 1381584 in words is "one million, three hundred eighty-one thousand, five hundred eighty-four".