512820 has 144 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 103680.

The previous prime is 512819. The next prime is 512821. The reversal of 512820 is 28215.

It is an interprime number because it is at equal distance from previous prime (512819) and next prime (512821).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 512793 and 512802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13842 + ... + 13878.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2⁵¹²⁸²⁰ 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 512820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

512820 is an abundant number, since it is smaller than the sum of its proper divisors (1478988).

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

512820 is a wasteful number, since it uses less digits than its factorization.

512820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 512820 is about 716.1145159819. The cubic root of 512820 is about 80.0426855536.

The spelling of 512820 in words is "five hundred twelve thousand, eight hundred twenty".