234636768 has 144 divisors (see below), whose sum is σ = 706672512. Its totient is φ = 73728000.

The previous prime is 234636763. The next prime is 234636791. The reversal of 234636768 is 867636432.

234636768 is a `hidden beast` number, since 2 + 3 + 4 + 636 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234636761) 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, 365728 + ... + 366368.

It is an arithmetic number, because the mean of its divisors is an integer number (4907448).

Almost surely, 2^234636768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234636768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353336256).

234636768 is an abundant number, since it is smaller than the sum of its proper divisors (472035744).

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

234636768 is a wasteful number, since it uses less digits than its factorization.

234636768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 234636768 is about 15317.8578136762. The cubic root of 234636768 is about 616.7824711012.

The spelling of 234636768 in words is "two hundred thirty-four million, six hundred thirty-six thousand, seven hundred sixty-eight".