561384 has 64 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 177408.

The previous prime is 561377. The next prime is 561389. The reversal of 561384 is 483165.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (561389) by changing a digit.

561384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 4912 + ... + 5024.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2⁵⁶¹³⁸⁴ is an apocalyptic number.

561384 is a gapful number since it is divisible by the number (54) 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 561384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

561384 is an abundant number, since it is smaller than the sum of its proper divisors (1080216).

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

561384 is a wasteful number, since it uses less digits than its factorization.

561384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 561384 is about 749.2556306095. The cubic root of 561384 is about 82.4935532153.

The spelling of 561384 in words is "five hundred sixty-one thousand, three hundred eighty-four".