234123264 has 208 divisors, whose sum is σ = 727360800. Its totient is φ = 74317824.

The previous prime is 234123247. The next prime is 234123287. The reversal of 234123264 is 462321432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3207132 + ... + 3207204.

Almost surely, 2^234123264 is an apocalyptic number.

234123264 is a gapful number since it is divisible by the number (24) 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 234123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363680400).

234123264 is an abundant number, since it is smaller than the sum of its proper divisors (493237536).

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

234123264 is an equidigital number, since it uses as much as digits as its factorization.

234123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 234123264 is about 15301.0870202087. The cubic root of 234123264 is about 616.3321983979.

Adding to 234123264 its reverse (462321432), we get a palindrome (696444696).

The spelling of 234123264 in words is "two hundred thirty-four million, one hundred twenty-three thousand, two hundred sixty-four".