268302080 has 72 divisors (see below), whose sum is σ = 645920352. Its totient is φ = 106778624.

The previous prime is 268302071. The next prime is 268302119. The reversal of 268302080 is 80203862.

It is a super-2 number, since 2×268302080² = 143972012264652800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336242 + ... + 337038.

It is an arithmetic number, because the mean of its divisors is an integer number (8971116).

Almost surely, 2^268302080 is an apocalyptic number.

268302080 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 268302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322960176).

268302080 is an abundant number, since it is smaller than the sum of its proper divisors (377618272).

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

268302080 is an equidigital number, since it uses as much as digits as its factorization.

268302080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 268302080 is about 16379.9291817761. The cubic root of 268302080 is about 644.9727208382.

The spelling of 268302080 in words is "two hundred sixty-eight million, three hundred two thousand, eighty".