235968768 has 144 divisors (see below), whose sum is σ = 797650560. Its totient is φ = 67405824.

The previous prime is 235968731. The next prime is 235968769. The reversal of 235968768 is 867869532.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (235968769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45946 + ... + 50822.

It is an arithmetic number, because the mean of its divisors is an integer number (5539240).

Almost surely, 2^235968768 is an apocalyptic number.

235968768 is a gapful number since it is divisible by the number (28) 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 235968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398825280).

235968768 is an abundant number, since it is smaller than the sum of its proper divisors (561681792).

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

235968768 is an equidigital number, since it uses as much as digits as its factorization.

235968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4889 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 235968768 is about 15361.2749470869. The cubic root of 235968768 is about 617.9473986712.

The spelling of 235968768 in words is "two hundred thirty-five million, nine hundred sixty-eight thousand, seven hundred sixty-eight".