1361184 has 48 divisors (see below), whose sum is σ = 3900960. Its totient is φ = 412160.

The previous prime is 1361183. The next prime is 1361197. The reversal of 1361184 is 4811631.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1361183) 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 7 ways as a sum of consecutive naturals, for example, 412 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (81270).

2^1361184 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 1361184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950480).

1361184 is an abundant number, since it is smaller than the sum of its proper divisors (2539776).

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

1361184 is a wasteful number, since it uses less digits than its factorization.

1361184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1361184 is about 1166.6979043437. The cubic root of 1361184 is about 110.8253075513.

It can be divided in two parts, 13611 and 84, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 1361184 in words is "one million, three hundred sixty-one thousand, one hundred eighty-four".