268126320 has 240 divisors, whose sum is σ = 1044933120. Its totient is φ = 55672320.

The previous prime is 268126319. The next prime is 268126367. The reversal of 268126320 is 23621862.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202621 + ... + 203939.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2^268126320 is an apocalyptic number.

268126320 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 268126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522466560).

268126320 is an abundant number, since it is smaller than the sum of its proper divisors (776806800).

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

268126320 is a wasteful number, since it uses less digits than its factorization.

268126320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 268126320 is about 16374.5632002811. The cubic root of 268126320 is about 644.8318532908.

The spelling of 268126320 in words is "two hundred sixty-eight million, one hundred twenty-six thousand, three hundred twenty".