268073232 has 80 divisors (see below), whose sum is σ = 794294400. Its totient is φ = 76317696.

The previous prime is 268073227. The next prime is 268073233. The reversal of 268073232 is 232370862.

It is a junction number, because it is equal to n+sod(n) for n = 268073193 and 268073202.

It is not an unprimeable number, because it can be changed into a prime (268073233) 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, 103894 + ... + 106442.

It is an arithmetic number, because the mean of its divisors is an integer number (9928680).

Almost surely, 2^268073232 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 268073232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397147200).

268073232 is an abundant number, since it is smaller than the sum of its proper divisors (526221168).

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

268073232 is a wasteful number, since it uses less digits than its factorization.

268073232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 268073232 is about 16372.9420691579. The cubic root of 268073232 is about 644.7892923901.

The spelling of 268073232 in words is "two hundred sixty-eight million, seventy-three thousand, two hundred thirty-two".