812064 has 48 divisors (see below), whose sum is σ = 2328480. Its totient is φ = 245760.

The previous prime is 812057. The next prime is 812081. The reversal of 812064 is 460218.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 812064.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 812064.

It is an unprimeable number.

812064 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 7 ways as a sum of consecutive naturals, for example, 672 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (48510).

2⁸¹²⁰⁶⁴ 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 812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164240).

812064 is an abundant number, since it is smaller than the sum of its proper divisors (1516416).

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

812064 is a wasteful number, since it uses less digits than its factorization.

812064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 812064 is about 901.1459371267. The cubic root of 812064 is about 93.2960849097.

It can be divided in two parts, 81 and 2064, that added together give a triangular number (2145 = T₆₅).

The spelling of 812064 in words is "eight hundred twelve thousand, sixty-four".