268535520 has 192 divisors, whose sum is σ = 1025498880. Its totient is φ = 65088000.

The previous prime is 268535513. The next prime is 268535521. The reversal of 268535520 is 25535862.

It is a happy number.

268535520 is a `hidden beast` number, since 26 + 85 + 3 + 552 + 0 = 666.

It is a super-2 number, since 2×268535520² = 144222651003340800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268535521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44695 + ... + 50345.

It is an arithmetic number, because the mean of its divisors is an integer number (5341140).

Almost surely, 2^268535520 is an apocalyptic number.

268535520 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 268535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512749440).

268535520 is an abundant number, since it is smaller than the sum of its proper divisors (756963360).

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

268535520 is a wasteful number, since it uses less digits than its factorization.

268535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 268535520 is about 16387.0534264095. The cubic root of 268535520 is about 645.1597224779.

The spelling of 268535520 in words is "two hundred sixty-eight million, five hundred thirty-five thousand, five hundred twenty".