511880 has 32 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 200640.

The previous prime is 511873. The next prime is 511891. The reversal of 511880 is 88115.

511880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511880² = 524042268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

511880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2585 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁵¹¹⁸⁸⁰ 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 511880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

511880 is an abundant number, since it is smaller than the sum of its proper divisors (663160).

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

511880 is a wasteful number, since it uses less digits than its factorization.

511880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 511880 is about 715.4578953370. The cubic root of 511880 is about 79.9937495117.

Adding to 511880 its reverse (88115), we get a palindrome (599995).

The spelling of 511880 in words is "five hundred eleven thousand, eight hundred eighty".