562080 has 48 divisors (see below), whose sum is σ = 1772064. Its totient is φ = 149760.

The previous prime is 562043. The next prime is 562091. The reversal of 562080 is 80265.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

It is an unprimeable number.

562080 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (36918).

2⁵⁶²⁰⁸⁰ 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 562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886032).

562080 is an abundant number, since it is smaller than the sum of its proper divisors (1209984).

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

562080 is a wasteful number, since it uses less digits than its factorization.

562080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 562080 is about 749.7199477138. The cubic root of 562080 is about 82.5276307816.

The spelling of 562080 in words is "five hundred sixty-two thousand, eighty".