506820006 has 96 divisors (see below), whose sum is σ = 1406216448. Its totient is φ = 128070720.

The previous prime is 506819981. The next prime is 506820071. The reversal of 506820006 is 600028605.

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 47 ways as a sum of consecutive naturals, for example, 46341 + ... + 56223.

It is an arithmetic number, because the mean of its divisors is an integer number (14648088).

Almost surely, 2^506820006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506820006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703108224).

506820006 is an abundant number, since it is smaller than the sum of its proper divisors (899396442).

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

506820006 is a wasteful number, since it uses less digits than its factorization.

506820006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9946 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506820006 is about 22512.6632364987. The cubic root of 506820006 is about 797.2929365499.

The spelling of 506820006 in words is "five hundred six million, eight hundred twenty thousand, six".