248672 has 24 divisors (see below), whose sum is σ = 516600. Its totient is φ = 117504.

The previous prime is 248657. The next prime is 248683. The reversal of 248672 is 276842.

248672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

248672 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 3 ways as a sum of consecutive naturals, for example, 404 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (21525).

2²⁴⁸⁶⁷² 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 248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258300).

248672 is an abundant number, since it is smaller than the sum of its proper divisors (267928).

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

248672 is a wasteful number, since it uses less digits than its factorization.

248672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 248672 is about 498.6702317163. The cubic root of 248672 is about 62.8843093905.

It can be divided in two parts, 2 and 48672, that multiplied together give a square (97344 = 312²).

The spelling of 248672 in words is "two hundred forty-eight thousand, six hundred seventy-two".