268296000 has 224 divisors, whose sum is σ = 1013106432. Its totient is φ = 61286400.

The previous prime is 268295987. The next prime is 268296011. The reversal of 268296000 is 692862.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167202 + ... + 168798.

Almost surely, 2^268296000 is an apocalyptic number.

268296000 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 268296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506553216).

268296000 is an abundant number, since it is smaller than the sum of its proper divisors (744810432).

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

268296000 is a wasteful number, since it uses less digits than its factorization.

268296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 268296000 is about 16379.7435877367. The cubic root of 268296000 is about 644.9678488872.

The spelling of 268296000 in words is "two hundred sixty-eight million, two hundred ninety-six thousand".