268803810 has 192 divisors, whose sum is σ = 800616960. Its totient is φ = 62000640.

The previous prime is 268803797. The next prime is 268803817. The reversal of 268803810 is 18308862.

268803810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268803810² = 144510976541032200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268803817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2466036 + ... + 2466144.

It is an arithmetic number, because the mean of its divisors is an integer number (4169880).

Almost surely, 2^268803810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268803810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400308480).

268803810 is an abundant number, since it is smaller than the sum of its proper divisors (531813150).

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

268803810 is a wasteful number, since it uses less digits than its factorization.

268803810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 268803810 is about 16395.2374182261. The cubic root of 268803810 is about 645.3745075835.

The spelling of 268803810 in words is "two hundred sixty-eight million, eight hundred three thousand, eight hundred ten".