575989920 has 768 divisors, whose sum is σ = 2508226560. Its totient is φ = 121651200.

The previous prime is 575989907. The next prime is 575989927. The reversal of 575989920 is 29989575.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (575989927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18580305 + ... + 18580335.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^575989920 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 575989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254113280).

575989920 is an abundant number, since it is smaller than the sum of its proper divisors (1932236640).

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

575989920 is a wasteful number, since it uses less digits than its factorization.

575989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The square root of 575989920 is about 23999.7899990812. The cubic root of 575989920 is about 832.0286756635.

The spelling of 575989920 in words is "five hundred seventy-five million, nine hundred eighty-nine thousand, nine hundred twenty".