268410880 has 56 divisors (see below), whose sum is σ = 644245092. Its totient is φ = 107347968.

The previous prime is 268410869. The next prime is 268410899. The reversal of 268410880 is 88014862.

268410880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 262180864 + 6230016 = 16192^2 + 2496^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37684 + ... + 44236.

Almost surely, 2^268410880 is an apocalyptic number.

268410880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268410880 is the 8192-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322122546).

268410880 is an abundant number, since it is smaller than the sum of its proper divisors (375834212).

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

268410880 is an frugal number, since it uses more digits than its factorization.

268410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 268410880 is about 16383.2499828331. The cubic root of 268410880 is about 645.0598906790.

Adding to 268410880 its product of nonzero digits (24576), we get a 28-th power (268435456 = 2²⁸).

The spelling of 268410880 in words is "two hundred sixty-eight million, four hundred ten thousand, eight hundred eighty".