268709152 has 48 divisors (see below), whose sum is σ = 550634112. Its totient is φ = 128976640.

The previous prime is 268709149. The next prime is 268709173. The reversal of 268709152 is 251907862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78027 + ... + 81397.

It is an arithmetic number, because the mean of its divisors is an integer number (11471544).

Almost surely, 2^268709152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268709152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275317056).

268709152 is an abundant number, since it is smaller than the sum of its proper divisors (281924960).

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

268709152 is a wasteful number, since it uses less digits than its factorization.

268709152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 268709152 is about 16392.3504110911. The cubic root of 268709152 is about 645.2987434882.

The spelling of 268709152 in words is "two hundred sixty-eight million, seven hundred nine thousand, one hundred fifty-two".