562320 has 120 divisors (see below), whose sum is σ = 2089152. Its totient is φ = 134400.

The previous prime is 562313. The next prime is 562333. The reversal of 562320 is 23265.

562320 = T₄₁ + T₄₂ + ... + T₁₅₀.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 562293 and 562302.

It is an unprimeable number.

562320 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 23 ways as a sum of consecutive naturals, for example, 7885 + ... + 7955.

2⁵⁶²³²⁰ 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 562320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044576).

562320 is an abundant number, since it is smaller than the sum of its proper divisors (1526832).

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

562320 is a wasteful number, since it uses less digits than its factorization.

562320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 562320 is about 749.8799903985. The cubic root of 562320 is about 82.5393751437.

Adding to 562320 its reverse (23265), we get a palindrome (585585).

The spelling of 562320 in words is "five hundred sixty-two thousand, three hundred twenty".