268800957 has 32 divisors (see below), whose sum is σ = 423221760. Its totient is φ = 168030720.

The previous prime is 268800949. The next prime is 268801007. The reversal of 268800957 is 759008862.

It is not a de Polignac number, because 268800957 - 2³ = 268800949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268800757) 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 31 ways as a sum of consecutive naturals, for example, 142732 + ... + 144602.

It is an arithmetic number, because the mean of its divisors is an integer number (13225680).

Almost surely, 2^268800957 is an apocalyptic number.

268800957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

268800957 is a deficient number, since it is larger than the sum of its proper divisors (154420803).

268800957 is a wasteful number, since it uses less digits than its factorization.

268800957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 268800957 is about 16395.1504110209. The cubic root of 268800957 is about 645.3722243073.

The spelling of 268800957 in words is "two hundred sixty-eight million, eight hundred thousand, nine hundred fifty-seven".