268527040 has 112 divisors (see below), whose sum is σ = 664915104. Its totient is φ = 103219200.

The previous prime is 268527031. The next prime is 268527101. The reversal of 268527040 is 40725862.

It is a super-2 number, since 2×268527040² = 144213542422323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268526987 and 268527005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272535 + ... + 1272745.

It is an arithmetic number, because the mean of its divisors is an integer number (5936742).

Almost surely, 2^268527040 is an apocalyptic number.

268527040 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 268527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332457552).

268527040 is an abundant number, since it is smaller than the sum of its proper divisors (396388064).

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

268527040 is a wasteful number, since it uses less digits than its factorization.

268527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 268527040 is about 16386.7946835249. The cubic root of 268527040 is about 645.1529313068.

The spelling of 268527040 in words is "two hundred sixty-eight million, five hundred twenty-seven thousand, forty".