507936 has 96 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 138240.

The previous prime is 507919. The next prime is 507937. The reversal of 507936 is 639705.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13710 + ... + 13746.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2⁵⁰⁷⁹³⁶ 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 507936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

507936 is an abundant number, since it is smaller than the sum of its proper divisors (1100832).

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

507936 is a wasteful number, since it uses less digits than its factorization.

507936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 507936 is about 712.6962887514. The cubic root of 507936 is about 79.7877708159.

Subtracting 507936 from its reverse (639705), we obtain a square (131769 = 363²).

It can be divided in two parts, 5079 and 36, that added together give a palindrome (5115).

The spelling of 507936 in words is "five hundred seven thousand, nine hundred thirty-six".