511940 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 170880.

The previous prime is 511939. The next prime is 511961. The reversal of 511940 is 49115.

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

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, 2771 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁵¹¹⁹⁴⁰ is an apocalyptic number.

It is a pronic number, being equal to 715×716.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

511940 is an abundant number, since it is smaller than the sum of its proper divisors (758140).

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

511940 is a wasteful number, since it uses less digits than its factorization.

511940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 511940 is about 715.4998252970. The cubic root of 511940 is about 79.9968748779.

It can be divided in two parts, 51 and 1940, that added together give a palindrome (1991).

The spelling of 511940 in words is "five hundred eleven thousand, nine hundred forty".