268234320 has 120 divisors (see below), whose sum is σ = 859953888. Its totient is φ = 69162240.

The previous prime is 268234319. The next prime is 268234321. The reversal of 268234320 is 23432862.

It is an interprime number because it is at equal distance from previous prime (268234319) and next prime (268234321).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268234321) 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, 230059 + ... + 231221.

Almost surely, 2^268234320 is an apocalyptic number.

268234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429976944).

268234320 is an abundant number, since it is smaller than the sum of its proper divisors (591719568).

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

268234320 is a wasteful number, since it uses less digits than its factorization.

268234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 268234320 is about 16377.8606661554. The cubic root of 268234320 is about 644.9184200650.

The spelling of 268234320 in words is "two hundred sixty-eight million, two hundred thirty-four thousand, three hundred twenty".