812520 has 96 divisors (see below), whose sum is σ = 2756520. Its totient is φ = 207360.

The previous prime is 812519. The next prime is 812527. The reversal of 812520 is 25218.

812520 is nontrivially palindromic in base 11.

812520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 213444 = 774^2 + 462^2 .

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 = 812493 and 812502.

It is not an unprimeable number, because it can be changed into a prime (812527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13290 + ... + 13350.

2⁸¹²⁵²⁰ 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 812520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

812520 is an abundant number, since it is smaller than the sum of its proper divisors (1944000).

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

812520 is a wasteful number, since it uses less digits than its factorization.

812520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

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

The square root of 812520 is about 901.3989128017. The cubic root of 812520 is about 93.3135445575.

Adding to 812520 its reverse (25218), we get a palindrome (837738).

It can be divided in two parts, 81 and 2520, that added together give a square (2601 = 51²).

The spelling of 812520 in words is "eight hundred twelve thousand, five hundred twenty".