268948032 has 56 divisors (see below), whose sum is σ = 719632800. Its totient is φ = 88636416.

The previous prime is 268948013. The next prime is 268948051. The reversal of 268948032 is 230849862.

It is an interprime number because it is at equal distance from previous prime (268948013) and next prime (268948051).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9219 + ... + 24957.

Almost surely, 2^268948032 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 268948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359816400).

268948032 is an abundant number, since it is smaller than the sum of its proper divisors (450684768).

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

268948032 is a wasteful number, since it uses less digits than its factorization.

268948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843 (or 15833 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 268948032 is about 16399.6351178921. The cubic root of 268948032 is about 645.4899084290.

It can be divided in two parts, 2689 and 48032, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 268948032 in words is "two hundred sixty-eight million, nine hundred forty-eight thousand, thirty-two".