1361584 has 20 divisors (see below), whose sum is σ = 3015184. Its totient is φ = 583488.

The previous prime is 1361573. The next prime is 1361587. The reversal of 1361584 is 4851631.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1361587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5967 + ... + 6190.

2^1361584 is an apocalyptic number.

1361584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1361584 is an abundant number, since it is smaller than the sum of its proper divisors (1653600).

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

1361584 is a wasteful number, since it uses less digits than its factorization.

1361584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12166 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 1361584 is about 1166.8693157333. The cubic root of 1361584 is about 110.8361622635.

The spelling of 1361584 in words is "one million, three hundred sixty-one thousand, five hundred eighty-four".