819264 has 56 divisors (see below), whose sum is σ = 2304288. Its totient is φ = 256000.

The previous prime is 819263. The next prime is 819271. The reversal of 819264 is 462918.

It is not an unprimeable number, because it can be changed into a prime (819263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3139 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (41148).

2⁸¹⁹²⁶⁴ 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 819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144).

819264 is an abundant number, since it is smaller than the sum of its proper divisors (1485024).

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

819264 is a wasteful number, since it uses less digits than its factorization.

819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 819264 is about 905.1320345673. The cubic root of 819264 is about 93.5710042408.

It can be divided in two parts, 8192 and 64, that multiplied together give a 19-th power (524288 = 2¹⁹).

The spelling of 819264 in words is "eight hundred nineteen thousand, two hundred sixty-four".