268956000 has 288 divisors, whose sum is σ = 989404416. Its totient is φ = 69120000.

The previous prime is 268955989. The next prime is 268956011. The reversal of 268956000 is 659862.

It is an interprime number because it is at equal distance from previous prime (268955989) and next prime (268956011).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1115880 + ... + 1116120.

It is an arithmetic number, because the mean of its divisors is an integer number (3435432).

Almost surely, 2^268956000 is an apocalyptic number.

268956000 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 268956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494702208).

268956000 is an abundant number, since it is smaller than the sum of its proper divisors (720448416).

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

268956000 is a wasteful number, since it uses less digits than its factorization.

268956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 268956000 is about 16399.8780483271. The cubic root of 268956000 is about 645.4962829106.

The spelling of 268956000 in words is "two hundred sixty-eight million, nine hundred fifty-six thousand".