814848 has 36 divisors (see below), whose sum is σ = 2170728. Its totient is φ = 271360.

The previous prime is 814841. The next prime is 814859. The reversal of 814848 is 848418.

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 (814841) by changing a digit.

814848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (60298).

2⁸¹⁴⁸⁴⁸ 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 814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085364).

814848 is an abundant number, since it is smaller than the sum of its proper divisors (1355880).

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

814848 is a wasteful number, since it uses less digits than its factorization.

814848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1066 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 814848 is about 902.6893153239. The cubic root of 814848 is about 93.4025789982.

The spelling of 814848 in words is "eight hundred fourteen thousand, eight hundred forty-eight".