506562120 has 128 divisors (see below), whose sum is σ = 1762041600. Its totient is φ = 129203712.

The previous prime is 506562113. The next prime is 506562127. The reversal of 506562120 is 21265605.

506562120 is a `hidden beast` number, since 5 + 0 + 656 + 2 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506562113) and next prime (506562127).

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

It is not an unprimeable number, because it can be changed into a prime (506562127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14644 + ... + 35036.

It is an arithmetic number, because the mean of its divisors is an integer number (13765950).

Almost surely, 2^506562120 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 506562120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881020800).

506562120 is an abundant number, since it is smaller than the sum of its proper divisors (1255479480).

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

506562120 is a wasteful number, since it uses less digits than its factorization.

506562120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20436 (or 20426 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 506562120 is about 22506.9349312606. The cubic root of 506562120 is about 797.1576843451.

The spelling of 506562120 in words is "five hundred six million, five hundred sixty-two thousand, one hundred twenty".