248080 has 40 divisors (see below), whose sum is σ = 660672. Its totient is φ = 84864.

The previous prime is 248077. The next prime is 248089. The reversal of 248080 is 80842.

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (248089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339 + ... + 781.

2²⁴⁸⁰⁸⁰ is an apocalyptic number.

248080 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 248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330336).

248080 is an abundant number, since it is smaller than the sum of its proper divisors (412592).

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

248080 is a wasteful number, since it uses less digits than its factorization.

248080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 248080 is about 498.0762993759. The cubic root of 248080 is about 62.8343679789.

The spelling of 248080 in words is "two hundred forty-eight thousand, eighty".