248662656 has 256 divisors, whose sum is σ = 830361600. Its totient is φ = 72576000.

The previous prime is 248662649. The next prime is 248662693. The reversal of 248662656 is 656266842.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1178391 + ... + 1178601.

It is an arithmetic number, because the mean of its divisors is an integer number (3243600).

Almost surely, 2^248662656 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 248662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415180800).

248662656 is an abundant number, since it is smaller than the sum of its proper divisors (581698944).

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

248662656 is a wasteful number, since it uses less digits than its factorization.

248662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 248662656 is about 15769.0410615231. The cubic root of 248662656 is about 628.8352174203.

The spelling of 248662656 in words is "two hundred forty-eight million, six hundred sixty-two thousand, six hundred fifty-six".