511872 has 64 divisors (see below), whose sum is σ = 1436160. Its totient is φ = 161280.

The previous prime is 511867. The next prime is 511873. The reversal of 511872 is 278115.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11883 + ... + 11925.

It is an arithmetic number, because the mean of its divisors is an integer number (22440).

2⁵¹¹⁸⁷² 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 511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718080).

511872 is an abundant number, since it is smaller than the sum of its proper divisors (924288).

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

511872 is a wasteful number, since it uses less digits than its factorization.

511872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 511872 is about 715.4523044900. The cubic root of 511872 is about 79.9933327777.

Adding to 511872 its reverse (278115), we get a palindrome (789987).

The spelling of 511872 in words is "five hundred eleven thousand, eight hundred seventy-two".