268129602 has 144 divisors (see below), whose sum is σ = 688326912. Its totient is φ = 77682240.

The previous prime is 268129573. The next prime is 268129613. The reversal of 268129602 is 206921862.

It is a happy number.

268129602 is a `hidden beast` number, since 26 + 8 + 1 + 29 + 602 = 666.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7246728 + ... + 7246764.

It is an arithmetic number, because the mean of its divisors is an integer number (4780048).

Almost surely, 2^268129602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268129602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344163456).

268129602 is an abundant number, since it is smaller than the sum of its proper divisors (420197310).

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

268129602 is a wasteful number, since it uses less digits than its factorization.

268129602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 268129602 is about 16374.6634163881. The cubic root of 268129602 is about 644.8344843013.

The spelling of 268129602 in words is "two hundred sixty-eight million, one hundred twenty-nine thousand, six hundred two".