268138080 has 192 divisors, whose sum is σ = 1072673280. Its totient is φ = 61281792.

The previous prime is 268138069. The next prime is 268138081. The reversal of 268138080 is 80831862.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268138081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25807 + ... + 34673.

It is an arithmetic number, because the mean of its divisors is an integer number (5586840).

Almost surely, 2^268138080 is an apocalyptic number.

268138080 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 268138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536336640).

268138080 is an abundant number, since it is smaller than the sum of its proper divisors (804535200).

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

268138080 is a wasteful number, since it uses less digits than its factorization.

268138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8898 (or 8884 counting only the distinct ones).

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

The square root of 268138080 is about 16374.9222898919. The cubic root of 268138080 is about 644.8412805783.

The spelling of 268138080 in words is "two hundred sixty-eight million, one hundred thirty-eight thousand, eighty".