268544520 has 96 divisors (see below), whose sum is σ = 896402520. Its totient is φ = 69672960.

The previous prime is 268544513. The next prime is 268544531. The reversal of 268544520 is 25445862.

It is a happy number.

268544520 is a `hidden beast` number, since 2 + 68 + 544 + 52 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 261857124 + 6687396 = 16182^2 + 2586^2 .

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, 3240 + ... + 23400.

Almost surely, 2^268544520 is an apocalyptic number.

268544520 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 268544520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448201260).

268544520 is an abundant number, since it is smaller than the sum of its proper divisors (627858000).

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

268544520 is a wasteful number, since it uses less digits than its factorization.

268544520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20215 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 268544520 is about 16387.3280311343. The cubic root of 268544520 is about 645.1669299324.

The spelling of 268544520 in words is "two hundred sixty-eight million, five hundred forty-four thousand, five hundred twenty".