248109696 has 256 divisors, whose sum is σ = 801964800. Its totient is φ = 75202560.

The previous prime is 248109689. The next prime is 248109707. The reversal of 248109696 is 696901842.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408781 + ... + 2408883.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^248109696 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 248109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

248109696 is an abundant number, since it is smaller than the sum of its proper divisors (553855104).

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

248109696 is a wasteful number, since it uses less digits than its factorization.

248109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 248109696 is about 15751.4982144557. The cubic root of 248109696 is about 628.3687503968.

The spelling of 248109696 in words is "two hundred forty-eight million, one hundred nine thousand, six hundred ninety-six".