268506720 has 144 divisors (see below), whose sum is σ = 921866400. Its totient is φ = 71165952.

The previous prime is 268506713. The next prime is 268506739. The reversal of 268506720 is 27605862.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286092 + ... + 287028.

It is an arithmetic number, because the mean of its divisors is an integer number (6401850).

Almost surely, 2^268506720 is an apocalyptic number.

268506720 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 268506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460933200).

268506720 is an abundant number, since it is smaller than the sum of its proper divisors (653359680).

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

268506720 is a wasteful number, since it uses less digits than its factorization.

268506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 268506720 is about 16386.1746603654. The cubic root of 268506720 is about 645.1366575412.

The spelling of 268506720 in words is "two hundred sixty-eight million, five hundred six thousand, seven hundred twenty".