561924 has 72 divisors (see below), whose sum is σ = 1638560. Its totient is φ = 166320.

The previous prime is 561923. The next prime is 561931. The reversal of 561924 is 429165.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (561923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13047 + ... + 13089.

2⁵⁶¹⁹²⁴ is an apocalyptic number.

561924 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819280).

561924 is an abundant number, since it is smaller than the sum of its proper divisors (1076636).

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

561924 is a wasteful number, since it uses less digits than its factorization.

561924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 561924 is about 749.6159016456. The cubic root of 561924 is about 82.5199951535.

It can be divided in two parts, 561 and 924, that added together give a triangular number (1485 = T₅₄).

The spelling of 561924 in words is "five hundred sixty-one thousand, nine hundred twenty-four".