268566400 has 192 divisors, whose sum is σ = 717141600. Its totient is φ = 99123200.

The previous prime is 268566367. The next prime is 268566401. The reversal of 268566400 is 4665862.

It is a super-2 number, since 2×268566400² = 144255822417920000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 268566400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268566401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3017556 + ... + 3017644.

Almost surely, 2^268566400 is an apocalyptic number.

268566400 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 268566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358570800).

268566400 is an abundant number, since it is smaller than the sum of its proper divisors (448575200).

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

268566400 is a wasteful number, since it uses less digits than its factorization.

268566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 268566400 is about 16387.9956065408. The cubic root of 268566400 is about 645.1844513836.

The spelling of 268566400 in words is "two hundred sixty-eight million, five hundred sixty-six thousand, four hundred".