520368 has 40 divisors (see below), whose sum is σ = 1385328. Its totient is φ = 168192.

The previous prime is 520363. The next prime is 520369. The reversal of 520368 is 863025.

520368 = T₂₄₇ + T₂₄₈ + ... + T₂₆₂.

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 (520361) 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, 1630 + ... + 1922.

2⁵²⁰³⁶⁸ 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 520368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692664).

520368 is an abundant number, since it is smaller than the sum of its proper divisors (864960).

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

520368 is a wasteful number, since it uses less digits than its factorization.

520368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 520368 is about 721.3653720550. The cubic root of 520368 is about 80.4334802766.

It can be divided in two parts, 520 and 368, that added together give a palindrome (888).

The spelling of 520368 in words is "five hundred twenty thousand, three hundred sixty-eight".