268742565 has 192 divisors, whose sum is σ = 620605440. Its totient is φ = 104509440.

The previous prime is 268742563. The next prime is 268742609. The reversal of 268742565 is 565247862.

268742565 is a `hidden beast` number, since 2 + 6 + 87 + 4 + 2 + 565 = 666.

It is not a de Polignac number, because 268742565 - 2¹ = 268742563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 268742565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268742563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3681369 + ... + 3681441.

It is an arithmetic number, because the mean of its divisors is an integer number (3232320).

Almost surely, 2^268742565 is an apocalyptic number.

It is an amenable number.

268742565 is an abundant number, since it is smaller than the sum of its proper divisors (351862875).

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

268742565 is a wasteful number, since it uses less digits than its factorization.

268742565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 268742565 is about 16393.3695438125. The cubic root of 268742565 is about 645.3254892257.

The spelling of 268742565 in words is "two hundred sixty-eight million, seven hundred forty-two thousand, five hundred sixty-five".