248768120 has 16 divisors (see below), whose sum is σ = 559728360. Its totient is φ = 99507232.

The previous prime is 248768111. The next prime is 248768129. The reversal of 248768120 is 21867842.

It is an interprime number because it is at equal distance from previous prime (248768111) and next prime (248768129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248768129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3109562 + ... + 3109641.

Almost surely, 2^248768120 is an apocalyptic number.

248768120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248768120 is an abundant number, since it is smaller than the sum of its proper divisors (310960240).

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

248768120 is a wasteful number, since it uses less digits than its factorization.

248768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219214 (or 6219210 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 248768120 is about 15772.3847277449. The cubic root of 248768120 is about 628.9241063924.

It can be divided in two parts, 2487 and 68120, that added together give a palindrome (70607).

The spelling of 248768120 in words is "two hundred forty-eight million, seven hundred sixty-eight thousand, one hundred twenty".