506608590 has 64 divisors (see below), whose sum is σ = 1292428800. Its totient is φ = 126728064.

The previous prime is 506608579. The next prime is 506608607. The reversal of 506608590 is 95806605.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54396 + ... + 63024.

It is an arithmetic number, because the mean of its divisors is an integer number (20194200).

Almost surely, 2^506608590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506608590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646214400).

506608590 is an abundant number, since it is smaller than the sum of its proper divisors (785820210).

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

506608590 is a wasteful number, since it uses less digits than its factorization.

506608590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761.

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 506608590 is about 22507.9672560629. The cubic root of 506608590 is about 797.1820596279.

The spelling of 506608590 in words is "five hundred six million, six hundred eight thousand, five hundred ninety".