561936 has 40 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 178816.

The previous prime is 561931. The next prime is 561943. The reversal of 561936 is 639165.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (561931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (37944).

2⁵⁶¹⁹³⁶ 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 561936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

561936 is an abundant number, since it is smaller than the sum of its proper divisors (955824).

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

561936 is a wasteful number, since it uses less digits than its factorization.

561936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 561936 is about 749.6239057021. The cubic root of 561936 is about 82.5205825597.

The spelling of 561936 in words is "five hundred sixty-one thousand, nine hundred thirty-six".