248335968 has 96 divisors (see below), whose sum is σ = 694987776. Its totient is φ = 77462528.

The previous prime is 248335963. The next prime is 248335981. The reversal of 248335968 is 869533842.

248335968 is digitally balanced in base 2, 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 (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248335963) 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, 102580 + ... + 104972.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^248335968 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 248335968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493888).

248335968 is an abundant number, since it is smaller than the sum of its proper divisors (446651808).

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

248335968 is a wasteful number, since it uses less digits than its factorization.

248335968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2468 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 248335968 is about 15758.6791324654. The cubic root of 248335968 is about 628.5597130441.

The spelling of 248335968 in words is "two hundred forty-eight million, three hundred thirty-five thousand, nine hundred sixty-eight".