507060 has 60 divisors (see below), whose sum is σ = 1595748. Its totient is φ = 134784.

The previous prime is 507049. The next prime is 507071. The reversal of 507060 is 60705.

It is an interprime number because it is at equal distance from previous prime (507049) and next prime (507071).

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 443556 = 252^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

507060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1464 + ... + 1776.

2⁵⁰⁷⁰⁶⁰ 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 507060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797874).

507060 is an abundant number, since it is smaller than the sum of its proper divisors (1088688).

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

507060 is a wasteful number, since it uses less digits than its factorization.

507060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 507060 is about 712.0814560147. The cubic root of 507060 is about 79.7418763815.

Adding to 507060 its reverse (60705), we get a palindrome (567765).

The spelling of 507060 in words is "five hundred seven thousand, sixty".