248024 has 32 divisors (see below), whose sum is σ = 549120. Its totient is φ = 102816.

The previous prime is 248021. The next prime is 248033. The reversal of 248024 is 420842.

248024 = T₈₇ + T₈₈ + ... + T₁₂₈.

248024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 247987 and 248005.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248024.

It is not an unprimeable number, because it can be changed into a prime (248021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2357 + ... + 2459.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2²⁴⁸⁰²⁴ 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 248024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274560).

248024 is an abundant number, since it is smaller than the sum of its proper divisors (301096).

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

248024 is a wasteful number, since it uses less digits than its factorization.

248024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 248024 is about 498.0200799165. The cubic root of 248024 is about 62.8296396796.

Subtracting from 248024 its sum of digits (20), we obtain a square (248004 = 498²).

Adding to 248024 its reverse (420842), we get a palindrome (668866).

The spelling of 248024 in words is "two hundred forty-eight thousand, twenty-four".