234317664 has 384 divisors, whose sum is σ = 862202880. Its totient is φ = 60383232.

The previous prime is 234317639. The next prime is 234317669. The reversal of 234317664 is 466713432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234317669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4421062 + ... + 4421114.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2^234317664 is an apocalyptic number.

234317664 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 234317664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431101440).

234317664 is an abundant number, since it is smaller than the sum of its proper divisors (627885216).

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

234317664 is a wasteful number, since it uses less digits than its factorization.

234317664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 234317664 is about 15307.4381919379. The cubic root of 234317664 is about 616.5027379541.

The spelling of 234317664 in words is "two hundred thirty-four million, three hundred seventeen thousand, six hundred sixty-four".