268527240 has 288 divisors, whose sum is σ = 969813000. Its totient is φ = 64339968.

The previous prime is 268527229. The next prime is 268527263. The reversal of 268527240 is 42725862.

It can be written as a sum of positive squares in 12 ways, for example, as 53670276 + 214856964 = 7326^2 + 14658^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 268527195 and 268527204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3017116 + ... + 3017204.

Almost surely, 2^268527240 is an apocalyptic number.

268527240 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 268527240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484906500).

268527240 is an abundant number, since it is smaller than the sum of its proper divisors (701285760).

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

268527240 is a wasteful number, since it uses less digits than its factorization.

268527240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 268527240 is about 16386.8007859985. The cubic root of 268527240 is about 645.1530914775.

The spelling of 268527240 in words is "two hundred sixty-eight million, five hundred twenty-seven thousand, two hundred forty".