237919968 has 288 divisors, whose sum is σ = 817296480. Its totient is φ = 64696320.

The previous prime is 237919967. The next prime is 237919991. The reversal of 237919968 is 869919732.

237919968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×237919968² = 113211822346242048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (237919967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2182698 + ... + 2182806.

It is an arithmetic number, because the mean of its divisors is an integer number (2837835).

Almost surely, 2^237919968 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 237919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408648240).

237919968 is an abundant number, since it is smaller than the sum of its proper divisors (579376512).

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

237919968 is a wasteful number, since it uses less digits than its factorization.

237919968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 237919968 is about 15424.6545504267. The cubic root of 237919968 is about 619.6459720081.

The spelling of 237919968 in words is "two hundred thirty-seven million, nine hundred nineteen thousand, nine hundred sixty-eight".