268130880 has 168 divisors, whose sum is σ = 929697912. Its totient is φ = 70926336.

The previous prime is 268130879. The next prime is 268130881. The reversal of 268130880 is 88031862.

It is an interprime number because it is at equal distance from previous prime (268130879) and next prime (268130881).

It can be written as a sum of positive squares in 4 ways, for example, as 19501056 + 248629824 = 4416^2 + 15768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (268130881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451864 + ... + 452456.

Almost surely, 2^268130880 is an apocalyptic number.

268130880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464848956).

268130880 is an abundant number, since it is smaller than the sum of its proper divisors (661567032).

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

268130880 is a wasteful number, since it uses less digits than its factorization.

268130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 268130880 is about 16374.7024400445. The cubic root of 268130880 is about 644.8355088023.

The spelling of 268130880 in words is "two hundred sixty-eight million, one hundred thirty thousand, eight hundred eighty".