575900640 has 576 divisors, whose sum is σ = 2465648640. Its totient is φ = 119439360.

The previous prime is 575900639. The next prime is 575900641. The reversal of 575900640 is 46009575.

575900640 is a `hidden beast` number, since 5 + 7 + 5 + 9 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (575900639) and next prime (575900641).

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

It is a junction number, because it is equal to n+sod(n) for n = 575900595 and 575900604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575900641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5937072 + ... + 5937168.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^575900640 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 575900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

575900640 is an abundant number, since it is smaller than the sum of its proper divisors (1889748000).

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

575900640 is a wasteful number, since it uses less digits than its factorization.

575900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 575900640 is about 23997.9299107235. The cubic root of 575900640 is about 831.9856845417.

The spelling of 575900640 in words is "five hundred seventy-five million, nine hundred thousand, six hundred forty".