515936 has 24 divisors (see below), whose sum is σ = 1061424. Its totient is φ = 246400.

The previous prime is 515929. The next prime is 515941. The reversal of 515936 is 639515.

It is a junction number, because it is equal to n+sod(n) for n = 515899 and 515908.

It is a congruent number.

It is an unprimeable number.

515936 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 3 ways as a sum of consecutive naturals, for example, 386 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (44226).

2⁵¹⁵⁹³⁶ 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 515936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712).

515936 is an abundant number, since it is smaller than the sum of its proper divisors (545488).

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

515936 is a wasteful number, since it uses less digits than its factorization.

515936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 726 counting only the distinct ones).

The product of its digits is 4050, while the sum is 29.

The square root of 515936 is about 718.2868507776. The cubic root of 515936 is about 80.2044769196.

The spelling of 515936 in words is "five hundred fifteen thousand, nine hundred thirty-six".