268561629 has 32 divisors (see below), whose sum is σ = 457079040. Its totient is φ = 152663616.

The previous prime is 268561621. The next prime is 268561681. The reversal of 268561629 is 926165862.

268561629 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 616 + 29 = 666.

It is not a de Polignac number, because 268561629 - 2³ = 268561621 is a prime.

It is a super-2 number, since 2×268561629² = 144250697142267282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268561621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33627 + ... + 40839.

It is an arithmetic number, because the mean of its divisors is an integer number (14283720).

Almost surely, 2^268561629 is an apocalyptic number.

It is an amenable number.

268561629 is a deficient number, since it is larger than the sum of its proper divisors (188517411).

268561629 is a wasteful number, since it uses less digits than its factorization.

268561629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7420 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 268561629 is about 16387.8500420281. The cubic root of 268561629 is about 645.1806308594.

The spelling of 268561629 in words is "two hundred sixty-eight million, five hundred sixty-one thousand, six hundred twenty-nine".