268034000 has 160 divisors (see below), whose sum is σ = 713600160. Its totient is φ = 97344000.

The previous prime is 268033999. The next prime is 268034003. The reversal of 268034000 is 430862.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 154654096 + 113379904 = 12436^2 + 10648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268034003) 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, 4393970 + ... + 4394030.

It is an arithmetic number, because the mean of its divisors is an integer number (4460001).

Almost surely, 2^268034000 is an apocalyptic number.

268034000 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 268034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356800080).

268034000 is an abundant number, since it is smaller than the sum of its proper divisors (445566160).

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

268034000 is an equidigital number, since it uses as much as digits as its factorization.

268034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 268034000 is about 16371.7439510884. The cubic root of 268034000 is about 644.7578362995.

Adding to 268034000 its reverse (430862), we get a palindrome (268464862).

It can be divided in two parts, 26803 and 4000, that added together give a palindrome (30803).

The spelling of 268034000 in words is "two hundred sixty-eight million, thirty-four thousand".