576242064 has 120 divisors (see below), whose sum is σ = 1766639160. Its totient is φ = 174526464.

The previous prime is 576242063. The next prime is 576242083. The reversal of 576242064 is 460242675.

576242064 is a `hidden beast` number, since 5 + 7 + 624 + 20 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290361600 + 285880464 = 17040^2 + 16908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (576242063) 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, 66934 + ... + 75050.

It is an arithmetic number, because the mean of its divisors is an integer number (14721993).

Almost surely, 2^576242064 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 576242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883319580).

576242064 is an abundant number, since it is smaller than the sum of its proper divisors (1190397096).

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

576242064 is a wasteful number, since it uses less digits than its factorization.

576242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 576242064 is about 24005.0424702811. The cubic root of 576242064 is about 832.1500669275.

It can be divided in two parts, 576 and 242064, that multiplied together give a square (139428864 = 11808²).

The spelling of 576242064 in words is "five hundred seventy-six million, two hundred forty-two thousand, sixty-four".