268629075 has 192 divisors, whose sum is σ = 609960960. Its totient is φ = 114998400.

The previous prime is 268629073. The next prime is 268629091. The reversal of 268629075 is 570926862.

It is not a de Polignac number, because 268629075 - 2¹ = 268629073 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 268629075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268629073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11679514 + ... + 11679536.

It is an arithmetic number, because the mean of its divisors is an integer number (3176880).

Almost surely, 2^268629075 is an apocalyptic number.

268629075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268629075 is an abundant number, since it is smaller than the sum of its proper divisors (341331885).

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

268629075 is a wasteful number, since it uses less digits than its factorization.

268629075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 268629075 is about 16389.9077178610. The cubic root of 268629075 is about 645.2346361055.

It can be divided in two parts, 26862 and 9075, that added together give a cube (35937 = 33³).

The spelling of 268629075 in words is "two hundred sixty-eight million, six hundred twenty-nine thousand, seventy-five".