561288 has 64 divisors (see below), whose sum is σ = 1733760. Its totient is φ = 147456.

The previous prime is 561277. The next prime is 561307. The reversal of 561288 is 882165.

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

It is an unprimeable number.

561288 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 15 ways as a sum of consecutive naturals, for example, 2056 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (27090).

2⁵⁶¹²⁸⁸ 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 561288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866880).

561288 is an abundant number, since it is smaller than the sum of its proper divisors (1172472).

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

561288 is a wasteful number, since it uses less digits than its factorization.

561288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 561288 is about 749.1915642878. The cubic root of 561288 is about 82.4888506512.

The spelling of 561288 in words is "five hundred sixty-one thousand, two hundred eighty-eight".