515607240 has 128 divisors (see below), whose sum is σ = 1609632000. Its totient is φ = 131970048.

The previous prime is 515607227. The next prime is 515607241. The reversal of 515607240 is 42706515.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 515607198 and 515607207.

It is not an unprimeable number, because it can be changed into a prime (515607241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796597 + ... + 797243.

It is an arithmetic number, because the mean of its divisors is an integer number (12575250).

Almost surely, 2^515607240 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 515607240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804816000).

515607240 is an abundant number, since it is smaller than the sum of its proper divisors (1094024760).

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

515607240 is a wasteful number, since it uses less digits than its factorization.

515607240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 515607240 is about 22706.9865900344. The cubic root of 515607240 is about 801.8743757977.

The spelling of 515607240 in words is "five hundred fifteen million, six hundred seven thousand, two hundred forty".