268886880 has 72 divisors (see below), whose sum is σ = 917581392. Its totient is φ = 71702784.

The previous prime is 268886851. The next prime is 268886887. The reversal of 268886880 is 88688862.

268886880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×268886880² = 144600308472268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268886887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91924 + ... + 94803.

It is an arithmetic number, because the mean of its divisors is an integer number (12744186).

Almost surely, 2^268886880 is an apocalyptic number.

268886880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268886880 is an abundant number, since it is smaller than the sum of its proper divisors (648694512).

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

268886880 is a wasteful number, since it uses less digits than its factorization.

268886880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186748 (or 186737 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 268886880 is about 16397.7705801734. The cubic root of 268886880 is about 645.4409820117.

The spelling of 268886880 in words is "two hundred sixty-eight million, eight hundred eighty-six thousand, eight hundred eighty".