268988832 has 180 divisors, whose sum is σ = 894667410. Its totient is φ = 76656384.

The previous prime is 268988831. The next prime is 268988851. The reversal of 268988832 is 238889862.

It can be written as a sum of positive squares in only one way, i.e., 252047376 + 16941456 = 15876^2 + 4116^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268988831) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691294 + ... + 691682.

Almost surely, 2^268988832 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 268988832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447333705).

268988832 is an abundant number, since it is smaller than the sum of its proper divisors (625678578).

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

268988832 is an equidigital number, since it uses as much as digits as its factorization.

268988832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 401 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 268988832 is about 16400.8790008341. The cubic root of 268988832 is about 645.5225475185.

The spelling of 268988832 in words is "two hundred sixty-eight million, nine hundred eighty-eight thousand, eight hundred thirty-two".