813288 has 64 divisors (see below), whose sum is σ = 2396160. Its totient is φ = 225216.

The previous prime is 813287. The next prime is 813299. The reversal of 813288 is 882318.

It is a super-2 number, since 2×813288² = 1322874741888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7845 + ... + 7947.

It is an arithmetic number, because the mean of its divisors is an integer number (37440).

2⁸¹³²⁸⁸ 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 813288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198080).

813288 is an abundant number, since it is smaller than the sum of its proper divisors (1582872).

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

813288 is a wasteful number, since it uses less digits than its factorization.

813288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 813288 is about 901.8248166911. The cubic root of 813288 is about 93.3429355200.

Adding to 813288 its sum of digits (30), we get a palindrome (813318).

The spelling of 813288 in words is "eight hundred thirteen thousand, two hundred eighty-eight".