231024960 has 168 divisors, whose sum is σ = 824337696. Its totient is φ = 61585920.

The previous prime is 231024907. The next prime is 231024967. The reversal of 231024960 is 69420132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231024967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76275 + ... + 79245.

It is an arithmetic number, because the mean of its divisors is an integer number (4906772).

Almost surely, 2^231024960 is an apocalyptic number.

231024960 is a gapful number since it is divisible by the number (20) 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 231024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412168848).

231024960 is an abundant number, since it is smaller than the sum of its proper divisors (593312736).

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

231024960 is an equidigital number, since it uses as much as digits as its factorization.

231024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 231024960 is about 15199.5052551062. The cubic root of 231024960 is about 613.6013426478.

The spelling of 231024960 in words is "two hundred thirty-one million, twenty-four thousand, nine hundred sixty".