231688512 has 280 divisors, whose sum is σ = 796625280. Its totient is φ = 65802240.

The previous prime is 231688463. The next prime is 231688517. The reversal of 231688512 is 215886132.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231688517) 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 39 ways as a sum of consecutive naturals, for example, 969289 + ... + 969527.

Almost surely, 2^231688512 is an apocalyptic number.

231688512 is a gapful number since it is divisible by the number (22) 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 231688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398312640).

231688512 is an abundant number, since it is smaller than the sum of its proper divisors (564936768).

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

231688512 is a wasteful number, since it uses less digits than its factorization.

231688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 231688512 is about 15221.3176827764. The cubic root of 231688512 is about 614.1882448973.

The spelling of 231688512 in words is "two hundred thirty-one million, six hundred eighty-eight thousand, five hundred twelve".