575608320 has 480 divisors, whose sum is σ = 2359348992. Its totient is φ = 126959616.

The previous prime is 575608303. The next prime is 575608333. The reversal of 575608320 is 23806575.

575608320 is a `hidden beast` number, since 575 + 6 + 0 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6934999 + ... + 6935081.

Almost surely, 2^575608320 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 575608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179674496).

575608320 is an abundant number, since it is smaller than the sum of its proper divisors (1783740672).

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

575608320 is a wasteful number, since it uses less digits than its factorization.

575608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 575608320 is about 23991.8386123282. The cubic root of 575608320 is about 831.8448921899.

The spelling of 575608320 in words is "five hundred seventy-five million, six hundred eight thousand, three hundred twenty".