248864 has 48 divisors (see below), whose sum is σ = 616896. Its totient is φ = 96000.

The previous prime is 248861. The next prime is 248867. The reversal of 248864 is 468842.

It is an interprime number because it is at equal distance from previous prime (248861) and next prime (248867).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 248864.

It is not an unprimeable number, because it can be changed into a prime (248861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2414 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2²⁴⁸⁸⁶⁴ 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 248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448).

248864 is an abundant number, since it is smaller than the sum of its proper divisors (368032).

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

248864 is a wasteful number, since it uses less digits than its factorization.

248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 248864 is about 498.8627065636. The cubic root of 248864 is about 62.9004895814.

Subtracting from 248864 its sum of digits (32), we obtain a 5-th power (248832 = 12⁵).

248864 divided by its sum of digits (32) gives a palindrome (7777).

It can be divided in two parts, 2488 and 64, that added together give a palindrome (2552).

The spelling of 248864 in words is "two hundred forty-eight thousand, eight hundred sixty-four".