268750896 has 80 divisors (see below), whose sum is σ = 738167040. Its totient is φ = 84015360.

The previous prime is 268750891. The next prime is 268750901. The reversal of 268750896 is 698057862.

It is an interprime number because it is at equal distance from previous prime (268750891) and next prime (268750901).

It is not an unprimeable number, because it can be changed into a prime (268750891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92506 + ... + 95366.

It is an arithmetic number, because the mean of its divisors is an integer number (9227088).

Almost surely, 2^268750896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268750896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369083520).

268750896 is an abundant number, since it is smaller than the sum of its proper divisors (469416144).

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

268750896 is a wasteful number, since it uses less digits than its factorization.

268750896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 268750896 is about 16393.6236384760. The cubic root of 268750896 is about 645.3321575046.

The spelling of 268750896 in words is "two hundred sixty-eight million, seven hundred fifty thousand, eight hundred ninety-six".