248911680 has 112 divisors (see below), whose sum is σ = 794211264. Its totient is φ = 66048000.

The previous prime is 248911673. The next prime is 248911703. The reversal of 248911680 is 86119842.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 240444 + ... + 241476.

It is an arithmetic number, because the mean of its divisors is an integer number (7091172).

Almost surely, 2^248911680 is an apocalyptic number.

248911680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397105632).

248911680 is an abundant number, since it is smaller than the sum of its proper divisors (545299584).

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

248911680 is a wasteful number, since it uses less digits than its factorization.

248911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 248911680 is about 15776.9350635667. The cubic root of 248911680 is about 629.0450637218.

The spelling of 248911680 in words is "two hundred forty-eight million, nine hundred eleven thousand, six hundred eighty".