268078896 has 100 divisors (see below), whose sum is σ = 788850304. Its totient is φ = 87868800.

The previous prime is 268078873. The next prime is 268078903. The reversal of 268078896 is 698870862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77361 + ... + 80751.

Almost surely, 2^268078896 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 268078896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394425152).

268078896 is an abundant number, since it is smaller than the sum of its proper divisors (520771408).

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

268078896 is a wasteful number, since it uses less digits than its factorization.

268078896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 268078896 is about 16373.1150365470. The cubic root of 268078896 is about 644.7938335135.

The spelling of 268078896 in words is "two hundred sixty-eight million, seventy-eight thousand, eight hundred ninety-six".