511980 has 96 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 109824.

The previous prime is 511963. The next prime is 511991. The reversal of 511980 is 89115.

It is a self number, because there is not a number n which added to its sum of digits gives 511980.

It is an unprimeable number.

511980 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 31 ways as a sum of consecutive naturals, for example, 9634 + ... + 9686.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2⁵¹¹⁹⁸⁰ 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 511980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

511980 is an abundant number, since it is smaller than the sum of its proper divisors (1229844).

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

511980 is a wasteful number, since it uses less digits than its factorization.

511980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 511980 is about 715.5277772386. The cubic root of 511980 is about 79.9989583198.

The spelling of 511980 in words is "five hundred eleven thousand, nine hundred eighty".