575079120 has 720 divisors, whose sum is σ = 2593334016. Its totient is φ = 111513600.

The previous prime is 575079103. The next prime is 575079133. The reversal of 575079120 is 21970575.

575079120 is a `hidden beast` number, since 575 + 0 + 79 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 14026300 + ... + 14026340.

Almost surely, 2^575079120 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 575079120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296667008).

575079120 is an abundant number, since it is smaller than the sum of its proper divisors (2018254896).

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

575079120 is a wasteful number, since it uses less digits than its factorization.

575079120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 575079120 is about 23980.8073258596. The cubic root of 575079120 is about 831.5898881780.

The spelling of 575079120 in words is "five hundred seventy-five million, seventy-nine thousand, one hundred twenty".