515970 has 120 divisors (see below), whose sum is σ = 1738044. Its totient is φ = 108864.

The previous prime is 515969. The next prime is 515993. The reversal of 515970 is 79515.

It can be written as a sum of positive squares in 2 ways, for example, as 480249 + 35721 = 693^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39684 + ... + 39696.

2⁵¹⁵⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869022).

515970 is an abundant number, since it is smaller than the sum of its proper divisors (1222074).

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

515970 is a wasteful number, since it uses less digits than its factorization.

515970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 515970 is about 718.3105178125. The cubic root of 515970 is about 80.2062386964.

515970 divided by its sum of digits (27) gives a triangular number (19110 = T₁₉₅).

It can be divided in two parts, 515 and 970, that added together give a triangular number (1485 = T₅₄).

The spelling of 515970 in words is "five hundred fifteen thousand, nine hundred seventy".