511360 has 64 divisors (see below), whose sum is σ = 1321920. Its totient is φ = 188416.

The previous prime is 511351. The next prime is 511361. The reversal of 511360 is 63115.

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

It is a super-2 number, since 2×511360² = 522978099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511361) by changing a digit.

511360 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 7 ways as a sum of consecutive naturals, for example, 10857 + ... + 10903.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2⁵¹¹³⁶⁰ 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 511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960).

511360 is an abundant number, since it is smaller than the sum of its proper divisors (810560).

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

511360 is a wasteful number, since it uses less digits than its factorization.

511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 511360 is about 715.0943993628. The cubic root of 511360 is about 79.9666527681.

Adding to 511360 its reverse (63115), we get a palindrome (574475).

The spelling of 511360 in words is "five hundred eleven thousand, three hundred sixty".