268912000 has 192 divisors, whose sum is σ = 780006240. Its totient is φ = 92198400.

The previous prime is 268911991. The next prime is 268912043. The reversal of 268912000 is 219862.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 268912000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38415997 + ... + 38416003.

Almost surely, 2^268912000 is an apocalyptic number.

268912000 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 268912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390003120).

268912000 is an abundant number, since it is smaller than the sum of its proper divisors (511094240).

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

268912000 is an frugal number, since it uses more digits than its factorization.

268912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 268912000 is about 16398.5365200679. The cubic root of 268912000 is about 645.4610808882.

Multiplying 268912000 by its sum of digits (28), we get a cube (7529536000 = 1960³).

The spelling of 268912000 in words is "two hundred sixty-eight million, nine hundred twelve thousand".