512070 has 48 divisors (see below), whose sum is σ = 1343952. Its totient is φ = 124800.

The previous prime is 512059. The next prime is 512093. The reversal of 512070 is 70215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 512070.

It is an unprimeable number.

512070 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 23 ways as a sum of consecutive naturals, for example, 5020 + ... + 5120.

It is an arithmetic number, because the mean of its divisors is an integer number (27999).

2⁵¹²⁰⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671976).

512070 is an abundant number, since it is smaller than the sum of its proper divisors (831882).

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

512070 is a wasteful number, since it uses less digits than its factorization.

512070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 512070 is about 715.5906651152. The cubic root of 512070 is about 80.0036456672.

Subtracting from 512070 its product of nonzero digits (70), we obtain a cube (512000 = 80³).

Adding to 512070 its reverse (70215), we get a palindrome (582285).

It can be divided in two parts, 51 and 2070, that multiplied together give a triangular number (105570 = T₄₅₉).

The spelling of 512070 in words is "five hundred twelve thousand, seventy".