268956900 has 54 divisors (see below), whose sum is σ = 843033282. Its totient is φ = 71721600.

The previous prime is 268956829. The next prime is 268956901. The reversal of 268956900 is 9659862.

268956900 is a `hidden beast` number, since 2 + 6 + 89 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 255296484 = 3696^2 + 15978^2 .

It is a super-2 number, since 2×268956900² = 144675628115220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (268956901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148521 + ... + 150320.

Almost surely, 2^268956900 is an apocalyptic number.

268956900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268956900 is an abundant number, since it is smaller than the sum of its proper divisors (574076382).

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

268956900 is a wasteful number, since it uses less digits than its factorization.

268956900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298861 (or 298851 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 268956900 is about 16399.9054875325. The cubic root of 268956900 is about 645.4970029119.

The spelling of 268956900 in words is "two hundred sixty-eight million, nine hundred fifty-six thousand, nine hundred".