511368 has 64 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 142080.

The previous prime is 511361. The next prime is 511387. The reversal of 511368 is 863115.

It is a super-2 number, since 2×511368² = 522994462848, which contains 22 as substring.

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

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

511368 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 15 ways as a sum of consecutive naturals, for example, 3358 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2⁵¹¹³⁶⁸ 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 511368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

511368 is an abundant number, since it is smaller than the sum of its proper divisors (1000632).

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

511368 is a wasteful number, since it uses less digits than its factorization.

511368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 511368 is about 715.0999930080. The cubic root of 511368 is about 79.9670697802.

The spelling of 511368 in words is "five hundred eleven thousand, three hundred sixty-eight".