248368 has 30 divisors (see below), whose sum is σ = 519684. Its totient is φ = 114912.

The previous prime is 248357. The next prime is 248371. The reversal of 248368 is 863842.

It is a happy number.

Its product of digits (9216) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5755 + ... + 5797.

248368 is a Friedman number, since it can be written as 43*(68+8)^2, using all its digits and the basic arithmetic operations.

2²⁴⁸³⁶⁸ 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 248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259842).

248368 is an abundant number, since it is smaller than the sum of its proper divisors (271316).

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

248368 is a wasteful number, since it uses less digits than its factorization.

248368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 248368 is about 498.3653278470. The cubic root of 248368 is about 62.8586737132.

It can be divided in two parts, 248 and 368, that added together give a palindrome (616).

The spelling of 248368 in words is "two hundred forty-eight thousand, three hundred sixty-eight".