248079168 has 84 divisors (see below), whose sum is σ = 715609440. Its totient is φ = 82166016.

The previous prime is 248079163. The next prime is 248079187. The reversal of 248079168 is 861970842.

248079168 is a `hidden beast` number, since 2 + 480 + 7 + 9 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248079163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94903 + ... + 97481.

It is an arithmetic number, because the mean of its divisors is an integer number (8519160).

Almost surely, 2^248079168 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 248079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357804720).

248079168 is an abundant number, since it is smaller than the sum of its proper divisors (467530272).

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

248079168 is a wasteful number, since it uses less digits than its factorization.

248079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 248079168 is about 15750.5291339688. The cubic root of 248079168 is about 628.3429773505.

The spelling of 248079168 in words is "two hundred forty-eight million, seventy-nine thousand, one hundred sixty-eight".