561672 has 48 divisors (see below), whose sum is σ = 1579500. Its totient is φ = 180096.

The previous prime is 561667. The next prime is 561703. The reversal of 561672 is 276165.

It can be written as a sum of positive squares in 2 ways, for example, as 527076 + 34596 = 726^2 + 186^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

561672 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1954 + ... + 2222.

2⁵⁶¹⁶⁷² 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 561672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789750).

561672 is an abundant number, since it is smaller than the sum of its proper divisors (1017828).

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

561672 is a wasteful number, since it uses less digits than its factorization.

561672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 561672 is about 749.4477967144. The cubic root of 561672 is about 82.5076576914.

It can be divided in two parts, 56167 and 2, that added together give a square (56169 = 237²).

The spelling of 561672 in words is "five hundred sixty-one thousand, six hundred seventy-two".