231296832 has 336 divisors, whose sum is σ = 798819840. Its totient is φ = 63258624.

The previous prime is 231296827. The next prime is 231296839. The reversal of 231296832 is 238692132.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231296839) 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 47 ways as a sum of consecutive naturals, for example, 2927769 + ... + 2927847.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^231296832 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 231296832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

231296832 is an abundant number, since it is smaller than the sum of its proper divisors (567523008).

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

231296832 is a wasteful number, since it uses less digits than its factorization.

231296832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 231296832 is about 15208.4460744680. The cubic root of 231296832 is about 613.8419452624.

It can be divided in two parts, 23 and 1296832, that added together give a triangular number (1296855 = T₁₆₁₀).

The spelling of 231296832 in words is "two hundred thirty-one million, two hundred ninety-six thousand, eight hundred thirty-two".