506062620 has 192 divisors, whose sum is σ = 1822141440. Its totient is φ = 114206976.

The previous prime is 506062619. The next prime is 506062637. The reversal of 506062620 is 26260605.

506062620 is a `hidden beast` number, since 50 + 606 + 2 + 6 + 2 + 0 = 666.

It is a super-2 number, since 2×506062620² = 512198750722528800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312934 + ... + 314546.

It is an arithmetic number, because the mean of its divisors is an integer number (9490320).

Almost surely, 2^506062620 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 506062620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911070720).

506062620 is an abundant number, since it is smaller than the sum of its proper divisors (1316078820).

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

506062620 is a wasteful number, since it uses less digits than its factorization.

506062620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 506062620 is about 22495.8356146199. The cubic root of 506062620 is about 796.8955834130.

The spelling of 506062620 in words is "five hundred six million, sixty-two thousand, six hundred twenty".