248066720 has 96 divisors (see below), whose sum is σ = 677025216. Its totient is φ = 84889600.

The previous prime is 248066719. The next prime is 248066723. The reversal of 248066720 is 27660842.

It is not an unprimeable number, because it can be changed into a prime (248066723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25775 + ... + 34065.

It is an arithmetic number, because the mean of its divisors is an integer number (7052346).

Almost surely, 2^248066720 is an apocalyptic number.

248066720 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 248066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338512608).

248066720 is an abundant number, since it is smaller than the sum of its proper divisors (428958496).

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

248066720 is a wasteful number, since it uses less digits than its factorization.

248066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8334 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 248066720 is about 15750.1339676842. The cubic root of 248066720 is about 628.3324676084.

The spelling of 248066720 in words is "two hundred forty-eight million, sixty-six thousand, seven hundred twenty".