268846032 has 160 divisors (see below), whose sum is σ = 869666560. Its totient is φ = 69672960.

The previous prime is 268846031. The next prime is 268846049. The reversal of 268846032 is 230648862.

268846032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268846031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265944 + ... + 266952.

It is an arithmetic number, because the mean of its divisors is an integer number (5435416).

Almost surely, 2^268846032 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 268846032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434833280).

268846032 is an abundant number, since it is smaller than the sum of its proper divisors (600820528).

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

268846032 is a wasteful number, since it uses less digits than its factorization.

268846032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1095 counting only the distinct ones).

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

The square root of 268846032 is about 16396.5249976939. The cubic root of 268846032 is about 645.4082962612.

The spelling of 268846032 in words is "two hundred sixty-eight million, eight hundred forty-six thousand, thirty-two".