811360 has 48 divisors (see below), whose sum is σ = 2095632. Its totient is φ = 294400.

The previous prime is 811351. The next prime is 811379. The reversal of 811360 is 63118.

811360 = T₂₀₉ + T₂₁₀ + ... + T₂₄₀.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1530 + ... + 1990.

It is an arithmetic number, because the mean of its divisors is an integer number (43659).

2⁸¹¹³⁶⁰ is an apocalyptic number.

811360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047816).

811360 is an abundant number, since it is smaller than the sum of its proper divisors (1284272).

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

811360 is a wasteful number, since it uses less digits than its factorization.

811360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 811360 is about 900.7552386747. The cubic root of 811360 is about 93.2691168247.

Adding to 811360 its reverse (63118), we get a palindrome (874478).

It can be divided in two parts, 81 and 1360, that added together give a palindrome (1441).

The spelling of 811360 in words is "eight hundred eleven thousand, three hundred sixty".