575996160 has 144 divisors (see below), whose sum is σ = 1870505280. Its totient is φ = 151019520.

The previous prime is 575996149. The next prime is 575996171. The reversal of 575996160 is 61699575.

It is an interprime number because it is at equal distance from previous prime (575996149) and next prime (575996171).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 233011 + ... + 235469.

It is an arithmetic number, because the mean of its divisors is an integer number (12989620).

Almost surely, 2^575996160 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 575996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935252640).

575996160 is an abundant number, since it is smaller than the sum of its proper divisors (1294509120).

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

575996160 is a wasteful number, since it uses less digits than its factorization.

575996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The square root of 575996160 is about 23999.9199998667. The cubic root of 575996160 is about 832.0316802533.

The spelling of 575996160 in words is "five hundred seventy-five million, nine hundred ninety-six thousand, one hundred sixty".