510120 has 96 divisors (see below), whose sum is σ = 1801800. Its totient is φ = 124416.

The previous prime is 510101. The next prime is 510121. The reversal of 510120 is 21015.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 142884 = 606^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510121) by changing a digit.

510120 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 23 ways as a sum of consecutive naturals, for example, 4626 + ... + 4734.

2⁵¹⁰¹²⁰ 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 510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900900).

510120 is an abundant number, since it is smaller than the sum of its proper divisors (1291680).

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

510120 is a wasteful number, since it uses less digits than its factorization.

510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 510120 is about 714.2268547177. The cubic root of 510120 is about 79.9019632423.

Adding to 510120 its reverse (21015), we get a palindrome (531135).

It can be divided in two parts, 510 and 120, that added together give a triangular number (630 = T₃₅).

The spelling of 510120 in words is "five hundred ten thousand, one hundred twenty".