268997820 has 192 divisors, whose sum is σ = 976174080. Its totient is φ = 53747712.

The previous prime is 268997797. The next prime is 268997821. The reversal of 268997820 is 28799862.

It is a happy number.

268997820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268997821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102444 + ... + 105036.

It is an arithmetic number, because the mean of its divisors is an integer number (5084240).

Almost surely, 2^268997820 is an apocalyptic number.

268997820 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 268997820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488087040).

268997820 is an abundant number, since it is smaller than the sum of its proper divisors (707176260).

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

268997820 is a wasteful number, since it uses less digits than its factorization.

268997820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 268997820 is about 16401.1530082491. The cubic root of 268997820 is about 645.5297372743.

The spelling of 268997820 in words is "two hundred sixty-eight million, nine hundred ninety-seven thousand, eight hundred twenty".