233268 has 24 divisors (see below), whose sum is σ = 622272. Its totient is φ = 66624.

The previous prime is 233267. The next prime is 233279. The reversal of 233268 is 862332.

It is a super-4 number, since 4×233268⁴ (a number of 23 digits) contains 4444 as substring.

It is a d-powerful number, because it can be written as 2⁵ + 3⁶ + 2¹³ + 3¹¹ + 6⁶ + 8³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233268.

It is not an unprimeable number, because it can be changed into a prime (233267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (25928).

2²³³²⁶⁸ is an apocalyptic number.

233268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233268 is an abundant number, since it is smaller than the sum of its proper divisors (389004).

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

233268 is a wasteful number, since it uses less digits than its factorization.

233268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2789 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 233268 is about 482.9782603803. The cubic root of 233268 is about 61.5580785216.

Subtracting from 233268 its product of digits (1728), we obtain a triangular number (231540 = T₆₈₀).

The spelling of 233268 in words is "two hundred thirty-three thousand, two hundred sixty-eight".