268954000 has 80 divisors (see below), whose sum is σ = 743273856. Its totient is φ = 92208000.

The previous prime is 268953989. The next prime is 268954039. The reversal of 268954000 is 459862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4395 + ... + 23605.

Almost surely, 2^268954000 is an apocalyptic number.

268954000 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 268954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371636928).

268954000 is an abundant number, since it is smaller than the sum of its proper divisors (474319856).

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

268954000 is a wasteful number, since it uses less digits than its factorization.

268954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19241 (or 19225 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 268954000 is about 16399.8170721505. The cubic root of 268954000 is about 645.4946829019.

The spelling of 268954000 in words is "two hundred sixty-eight million, nine hundred fifty-four thousand".