862848 has 96 divisors (see below), whose sum is σ = 2864160. Its totient is φ = 244224.

The previous prime is 862819. The next prime is 862861. The reversal of 862848 is 848268.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×862848² = 1489013342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 862848.

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 11 ways as a sum of consecutive naturals, for example, 8011 + ... + 8117.

It is an arithmetic number, because the mean of its divisors is an integer number (29835).

2⁸⁶²⁸⁴⁸ 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 862848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432080).

862848 is an abundant number, since it is smaller than the sum of its proper divisors (2001312).

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

862848 is a wasteful number, since it uses less digits than its factorization.

862848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 862848 is about 928.8961190575. The cubic root of 862848 is about 95.2017135958.

The spelling of 862848 in words is "eight hundred sixty-two thousand, eight hundred forty-eight".