268024248 has 128 divisors (see below), whose sum is σ = 766080000. Its totient is φ = 86800896.

The previous prime is 268024243. The next prime is 268024249. The reversal of 268024248 is 842420862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268024243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1928163 + ... + 1928301.

It is an arithmetic number, because the mean of its divisors is an integer number (5985000).

Almost surely, 2^268024248 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 268024248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040000).

268024248 is an abundant number, since it is smaller than the sum of its proper divisors (498055752).

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

268024248 is a wasteful number, since it uses less digits than its factorization.

268024248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 268024248 is about 16371.4461181656. The cubic root of 268024248 is about 644.7500167011.

The spelling of 268024248 in words is "two hundred sixty-eight million, twenty-four thousand, two hundred forty-eight".