248560 has 40 divisors (see below), whose sum is σ = 624960. Its totient is φ = 91392.

The previous prime is 248543. The next prime is 248569. The reversal of 248560 is 65842.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248569) by changing a digit.

248560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921 + ... + 1159.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²⁴⁸⁵⁶⁰ is an apocalyptic number.

248560 is a gapful number since it is divisible by the number (20) 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 248560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

248560 is an abundant number, since it is smaller than the sum of its proper divisors (376400).

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

248560 is a wasteful number, since it uses less digits than its factorization.

248560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 248560 is about 498.5579204064. The cubic root of 248560 is about 62.8748670993.

It can be divided in two parts, 248 and 560, that added together give a palindrome (808).

The spelling of 248560 in words is "two hundred forty-eight thousand, five hundred sixty".