248568960 has 128 divisors (see below), whose sum is σ = 813960000. Its totient is φ = 64475136.

The previous prime is 248568959. The next prime is 248568977. The reversal of 248568960 is 69865842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69291 + ... + 72789.

Almost surely, 2^248568960 is an apocalyptic number.

248568960 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 248568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980000).

248568960 is an abundant number, since it is smaller than the sum of its proper divisors (565391040).

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

248568960 is a wasteful number, since it uses less digits than its factorization.

248568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 248568960 is about 15766.0698970923. The cubic root of 248568960 is about 628.7562258697.

The spelling of 248568960 in words is "two hundred forty-eight million, five hundred sixty-eight thousand, nine hundred sixty".