248088672 has 288 divisors, whose sum is σ = 823350528. Its totient is φ = 70253568.

The previous prime is 248088671. The next prime is 248088703. The reversal of 248088672 is 276880842.

It is a happy number.

248088672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248088671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3702783 + ... + 3702849.

It is an arithmetic number, because the mean of its divisors is an integer number (2858856).

Almost surely, 2^248088672 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 248088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411675264).

248088672 is an abundant number, since it is smaller than the sum of its proper divisors (575261856).

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

248088672 is a wasteful number, since it uses less digits than its factorization.

248088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 248088672 is about 15750.8308352290. The cubic root of 248088672 is about 628.3510012614.

The spelling of 248088672 in words is "two hundred forty-eight million, eighty-eight thousand, six hundred seventy-two".