231967008 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 59664384.

The previous prime is 231967007. The next prime is 231967013. The reversal of 231967008 is 800769132.

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

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

It is not an unprimeable number, because it can be changed into a prime (231967007) 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, 1388941 + ... + 1389107.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^231967008 is an apocalyptic number.

231967008 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 231967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

231967008 is an abundant number, since it is smaller than the sum of its proper divisors (600189408).

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

231967008 is a wasteful number, since it uses less digits than its factorization.

231967008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 231967008 is about 15230.4631577638. The cubic root of 231967008 is about 614.4342367803.

The spelling of 231967008 in words is "two hundred thirty-one million, nine hundred sixty-seven thousand, eight".