511648 has 24 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 250560.

The previous prime is 511633. The next prime is 511669. The reversal of 511648 is 846115.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1753 + ... + 2023.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

2⁵¹¹⁶⁴⁸ 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 511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

511648 is an abundant number, since it is smaller than the sum of its proper divisors (516512).

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

511648 is a wasteful number, since it uses less digits than its factorization.

511648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 511648 is about 715.2957430322. The cubic root of 511648 is about 79.9816624637.

It can be divided in two parts, 51 and 1648, that multiplied together give a palindrome (84048).

The spelling of 511648 in words is "five hundred eleven thousand, six hundred forty-eight".