268083400 has 96 divisors (see below), whose sum is σ = 700580160. Its totient is φ = 94659840.

The previous prime is 268083373. The next prime is 268083401. The reversal of 268083400 is 4380862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (268083401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57559 + ... + 62041.

It is an arithmetic number, because the mean of its divisors is an integer number (7297710).

Almost surely, 2^268083400 is an apocalyptic number.

268083400 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 268083400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350290080).

268083400 is an abundant number, since it is smaller than the sum of its proper divisors (432496760).

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

268083400 is a wasteful number, since it uses less digits than its factorization.

268083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 268083400 is about 16373.2525785196. The cubic root of 268083400 is about 644.7974445588.

The spelling of 268083400 in words is "two hundred sixty-eight million, eighty-three thousand, four hundred".