561792 has 128 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 138240.

The previous prime is 561787. The next prime is 561797. The reversal of 561792 is 297165.

It is an interprime number because it is at equal distance from previous prime (561787) and next prime (561797).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×561792² = 631220502528, which contains 22 as substring.

Its product of digits (3780) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (561797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29559 + ... + 29577.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2⁵⁶¹⁷⁹² 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 561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979200).

561792 is an abundant number, since it is smaller than the sum of its proper divisors (1396608).

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

561792 is a wasteful number, since it uses less digits than its factorization.

561792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 561792 is about 749.5278513838. The cubic root of 561792 is about 82.5135331335.

The spelling of 561792 in words is "five hundred sixty-one thousand, seven hundred ninety-two".