248248 has 64 divisors (see below), whose sum is σ = 645120. Its totient is φ = 86400.

The previous prime is 248243. The next prime is 248257. The reversal of 248248 is 842842.

It is a Harshad number since it is a multiple of its sum of digits (28).

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

Its product of digits (4096) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7993 + ... + 8023.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2²⁴⁸²⁴⁸ is an apocalyptic number.

248248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

248248 is an abundant number, since it is smaller than the sum of its proper divisors (396872).

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

248248 is a wasteful number, since it uses less digits than its factorization.

248248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 248248 is about 498.2449196931. The cubic root of 248248 is about 62.8485486085.

It can be divided in two parts, 248 and 248, that added together give a triangular number (496 = T₃₁).

The spelling of 248248 in words is "two hundred forty-eight thousand, two hundred forty-eight".