268968840 has 192 divisors, whose sum is σ = 948024000. Its totient is φ = 60867072.

The previous prime is 268968797. The next prime is 268968841. The reversal of 268968840 is 48869862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268968841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875967 + ... + 876273.

It is an arithmetic number, because the mean of its divisors is an integer number (4937625).

Almost surely, 2^268968840 is an apocalyptic number.

268968840 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 268968840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474012000).

268968840 is an abundant number, since it is smaller than the sum of its proper divisors (679055160).

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

268968840 is a wasteful number, since it uses less digits than its factorization.

268968840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 268968840 is about 16400.2695099806. The cubic root of 268968840 is about 645.5065547771.

The spelling of 268968840 in words is "two hundred sixty-eight million, nine hundred sixty-eight thousand, eight hundred forty".