268046832 has 120 divisors (see below), whose sum is σ = 755904000. Its totient is φ = 81751680.

The previous prime is 268046791. The next prime is 268046839. The reversal of 268046832 is 238640862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268046839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536919 + ... + 537417.

It is an arithmetic number, because the mean of its divisors is an integer number (6299200).

Almost surely, 2^268046832 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 268046832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377952000).

268046832 is an abundant number, since it is smaller than the sum of its proper divisors (487857168).

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

268046832 is a wasteful number, since it uses less digits than its factorization.

268046832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 268046832 is about 16372.1358411174. The cubic root of 268046832 is about 644.7681252933.

The spelling of 268046832 in words is "two hundred sixty-eight million, forty-six thousand, eight hundred thirty-two".