511680 has 112 divisors (see below), whose sum is σ = 1792224. Its totient is φ = 122880.

The previous prime is 511669. The next prime is 511691. The reversal of 511680 is 86115.

It is an interprime number because it is at equal distance from previous prime (511669) and next prime (511691).

It is a congruent number.

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, 12460 + ... + 12500.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2⁵¹¹⁶⁸⁰ 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 511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896112).

511680 is an abundant number, since it is smaller than the sum of its proper divisors (1280544).

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

511680 is a wasteful number, since it uses less digits than its factorization.

511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 511680 is about 715.3181110527. The cubic root of 511680 is about 79.9833298599.

Adding to 511680 its reverse (86115), we get a palindrome (597795).

The spelling of 511680 in words is "five hundred eleven thousand, six hundred eighty".