515840 has 72 divisors (see below), whose sum is σ = 1373568. Its totient is φ = 184320.

The previous prime is 515839. The next prime is 515843. The reversal of 515840 is 48515.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 515840.

It is not an unprimeable number, because it can be changed into a prime (515843) 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, 16625 + ... + 16655.

2⁵¹⁵⁸⁴⁰ 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 515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686784).

515840 is an abundant number, since it is smaller than the sum of its proper divisors (857728).

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

515840 is a wasteful number, since it uses less digits than its factorization.

515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 515840 is about 718.2200219988. The cubic root of 515840 is about 80.1995020730.

The spelling of 515840 in words is "five hundred fifteen thousand, eight hundred forty".