248080896 has 120 divisors (see below), whose sum is σ = 818367264. Its totient is φ = 70871040.

The previous prime is 248080843. The next prime is 248080897. The reversal of 248080896 is 698080842.

It is a happy number.

248080896 is a `hidden beast` number, since 2 + 480 + 80 + 8 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (248080897) 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 11 ways as a sum of consecutive naturals, for example, 28411 + ... + 36101.

Almost surely, 2^248080896 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 248080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409183632).

248080896 is an abundant number, since it is smaller than the sum of its proper divisors (570286368).

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

248080896 is an equidigital number, since it uses as much as digits as its factorization.

248080896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 248080896 is about 15750.5839891732. The cubic root of 248080896 is about 628.3444362586.

The spelling of 248080896 in words is "two hundred forty-eight million, eighty thousand, eight hundred ninety-six".