561320 has 16 divisors (see below), whose sum is σ = 1263060. Its totient is φ = 224512.

The previous prime is 561313. The next prime is 561343. The reversal of 561320 is 23165.

It can be written as a sum of positive squares in 2 ways, for example, as 515524 + 45796 = 718^2 + 214^2 .

It is an unprimeable number.

561320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6977 + ... + 7056.

2⁵⁶¹³²⁰ is an apocalyptic number.

It is an amenable number.

561320 is an abundant number, since it is smaller than the sum of its proper divisors (701740).

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

561320 is a wasteful number, since it uses less digits than its factorization.

561320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14044 (or 14040 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 561320 is about 749.2129203371. The cubic root of 561320 is about 82.4904182322.

Adding to 561320 its reverse (23165), we get a palindrome (584485).

It can be divided in two parts, 56 and 1320, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 561320 in words is "five hundred sixty-one thousand, three hundred twenty".