506106620 has 48 divisors (see below), whose sum is σ = 1107321600. Its totient is φ = 194088960.

The previous prime is 506106619. The next prime is 506106631. The reversal of 506106620 is 26601605.

It is a super-2 number, since 2×506106620² = 512287821615648800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506106620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63836 + ... + 71324.

It is an arithmetic number, because the mean of its divisors is an integer number (23069200).

Almost surely, 2^506106620 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 506106620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553660800).

506106620 is an abundant number, since it is smaller than the sum of its proper divisors (601214980).

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

506106620 is a wasteful number, since it uses less digits than its factorization.

506106620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 506106620 is about 22496.8135521456. The cubic root of 506106620 is about 796.9186783082.

The spelling of 506106620 in words is "five hundred six million, one hundred six thousand, six hundred twenty".