814320 has 160 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 193536.

The previous prime is 814309. The next prime is 814327. The reversal of 814320 is 23418.

It is a happy number.

814320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 814293 and 814302.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814320.

It is not an unprimeable number, because it can be changed into a prime (814327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28066 + ... + 28094.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2⁸¹⁴³²⁰ is an apocalyptic number.

814320 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 814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

814320 is an abundant number, since it is smaller than the sum of its proper divisors (2310480).

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

814320 is a wasteful number, since it uses less digits than its factorization.

814320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 814320 is about 902.3968085050. The cubic root of 814320 is about 93.3824005038.

Adding to 814320 its reverse (23418), we get a palindrome (837738).

The spelling of 814320 in words is "eight hundred fourteen thousand, three hundred twenty".