506060120 has 64 divisors (see below), whose sum is σ = 1202826240. Its totient is φ = 191318400.

The previous prime is 506060083. The next prime is 506060153. The reversal of 506060120 is 21060605.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 506060092 and 506060101.

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, 48575 + ... + 58065.

It is an arithmetic number, because the mean of its divisors is an integer number (18794160).

Almost surely, 2^506060120 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 506060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601413120).

506060120 is an abundant number, since it is smaller than the sum of its proper divisors (696766120).

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

506060120 is a wasteful number, since it uses less digits than its factorization.

506060120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9576 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 506060120 is about 22495.7800487114. The cubic root of 506060120 is about 796.8942711628.

The spelling of 506060120 in words is "five hundred six million, sixty thousand, one hundred twenty".