268272432 has 80 divisors (see below), whose sum is σ = 784637280. Its totient is φ = 87729408.

The previous prime is 268272421. The next prime is 268272439. The reversal of 268272432 is 234272862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (268272439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17038 + ... + 28754.

It is an arithmetic number, because the mean of its divisors is an integer number (9807966).

Almost surely, 2^268272432 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 268272432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392318640).

268272432 is an abundant number, since it is smaller than the sum of its proper divisors (516364848).

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

268272432 is a wasteful number, since it uses less digits than its factorization.

268272432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787 (or 11775 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 268272432 is about 16379.0241467555. The cubic root of 268272432 is about 644.9489629709.

The spelling of 268272432 in words is "two hundred sixty-eight million, two hundred seventy-two thousand, four hundred thirty-two".