819312 has 60 divisors (see below), whose sum is σ = 2314584. Its totient is φ = 249600.

The previous prime is 819311. The next prime is 819317. The reversal of 819312 is 213918.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8062 + ... + 8162.

2⁸¹⁹³¹² 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 819312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157292).

819312 is an abundant number, since it is smaller than the sum of its proper divisors (1495272).

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

819312 is a wasteful number, since it uses less digits than its factorization.

819312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 819312 is about 905.1585496475. The cubic root of 819312 is about 93.5728316210.

The spelling of 819312 in words is "eight hundred nineteen thousand, three hundred twelve".