268116480 has 240 divisors, whose sum is σ = 965188224. Its totient is φ = 71331840.

The previous prime is 268116463. The next prime is 268116487. The reversal of 268116480 is 84611862.

268116480 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (268116487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621865 + ... + 622295.

Almost surely, 2^268116480 is an apocalyptic number.

268116480 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 268116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482594112).

268116480 is an abundant number, since it is smaller than the sum of its proper divisors (697071744).

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

268116480 is an frugal number, since it uses more digits than its factorization.

268116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 441 counting only the distinct ones).

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

The square root of 268116480 is about 16374.2627314942. The cubic root of 268116480 is about 644.8239649404.

The spelling of 268116480 in words is "two hundred sixty-eight million, one hundred sixteen thousand, four hundred eighty".