231085920 has 192 divisors, whose sum is σ = 811581120. Its totient is φ = 54878208.

The previous prime is 231085909. The next prime is 231085927. The reversal of 231085920 is 29580132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231085927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180322 + ... + 181598.

It is an arithmetic number, because the mean of its divisors is an integer number (4226985).

Almost surely, 2^231085920 is an apocalyptic number.

231085920 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 231085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405790560).

231085920 is an abundant number, since it is smaller than the sum of its proper divisors (580495200).

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

231085920 is a wasteful number, since it uses less digits than its factorization.

231085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 231085920 is about 15201.5104512677. The cubic root of 231085920 is about 613.6553077379.

The spelling of 231085920 in words is "two hundred thirty-one million, eighty-five thousand, nine hundred twenty".