248688 has 60 divisors (see below), whose sum is σ = 764088. Its totient is φ = 74880.

The previous prime is 248683. The next prime is 248701. The reversal of 248688 is 886842.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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 248688.

It is not an unprimeable number, because it can be changed into a prime (248683) by changing a digit.

248688 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 11 ways as a sum of consecutive naturals, for example, 1506 + ... + 1662.

2²⁴⁸⁶⁸⁸ 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 248688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382044).

248688 is an abundant number, since it is smaller than the sum of its proper divisors (515400).

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

248688 is a wasteful number, since it uses less digits than its factorization.

248688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 248688 is about 498.6862741243. The cubic root of 248688 is about 62.8856580578.

The spelling of 248688 in words is "two hundred forty-eight thousand, six hundred eighty-eight".