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576 = 2632

576 has 21 divisors (see below), whose sum is σ = 1651. Its totient is φ = 192.

The previous prime is 571. The next prime is 577. The reversal of 576 is 675.

The square root of 576 is 24.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)2.

576 is nontrivially palindromic in base 11 and base 14.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a cake number, because a cake can be divided into 576 parts by 15 planar cuts.

It is a Duffinian number.

576 is an undulating number in base 11 and base 14.

Its product of digits (210) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 4, base 8, base 9 and base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (571) by changing a digit.

576 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 (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 191 + 192 + 193.

576 is the 24-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576

576 is an abundant number, since it is smaller than the sum of its proper divisors (1075).

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

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

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

The sum of its prime factors is 18 (or 5 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The cubic root of 576 is about 8.3203352922.

The spelling of 576 in words is "five hundred seventy-six", and is thus an aban number and an oban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576