838848 has 56 divisors (see below), whose sum is σ = 2359152. Its totient is φ = 262144.

The previous prime is 838837. The next prime is 838853. The reversal of 838848 is 848838.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 15.

It is an unprimeable number.

838848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 838848 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3136 + ... + 3392.

2⁸³⁸⁸⁴⁸ 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 838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179576).

838848 is an abundant number, since it is smaller than the sum of its proper divisors (1520304).

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

838848 is a wasteful number, since it uses less digits than its factorization.

838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 838848 is about 915.8864558448. The cubic root of 838848 is about 94.3107266712.

The spelling of 838848 in words is "eight hundred thirty-eight thousand, eight hundred forty-eight".