231811968 has 128 divisors (see below), whose sum is σ = 640886400. Its totient is φ = 74188800.

The previous prime is 231811961. The next prime is 231811973. The reversal of 231811968 is 869118132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

Its product of digits (20736) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231811961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1667643 + ... + 1667781.

It is an arithmetic number, because the mean of its divisors is an integer number (5006925).

Almost surely, 2^231811968 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 231811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320443200).

231811968 is an abundant number, since it is smaller than the sum of its proper divisors (409074432).

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

231811968 is a wasteful number, since it uses less digits than its factorization.

231811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 231811968 is about 15225.3725077582. The cubic root of 231811968 is about 614.2973162814.

The spelling of 231811968 in words is "two hundred thirty-one million, eight hundred eleven thousand, nine hundred sixty-eight".