814368 has 48 divisors (see below), whose sum is σ = 2268000. Its totient is φ = 254976.

The previous prime is 814367. The next prime is 814379. The reversal of 814368 is 863418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (814367) 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, 1383 + ... + 1881.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2⁸¹⁴³⁶⁸ 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 814368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134000).

814368 is an abundant number, since it is smaller than the sum of its proper divisors (1453632).

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

814368 is a wasteful number, since it uses less digits than its factorization.

814368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 814368 is about 902.4234039518. The cubic root of 814368 is about 93.3842352727.

The spelling of 814368 in words is "eight hundred fourteen thousand, three hundred sixty-eight".