232591968 has 144 divisors (see below), whose sum is σ = 763360416. Its totient is φ = 65802240.

The previous prime is 232591967. The next prime is 232591981. The reversal of 232591968 is 869195232.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×232591968² = 108198047156226048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232591967) 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 23 ways as a sum of consecutive naturals, for example, 227298 + ... + 228318.

It is an arithmetic number, because the mean of its divisors is an integer number (5301114).

Almost surely, 2^232591968 is an apocalyptic number.

232591968 is a gapful number since it is divisible by the number (28) 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 232591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381680208).

232591968 is an abundant number, since it is smaller than the sum of its proper divisors (530768448).

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

232591968 is a wasteful number, since it uses less digits than its factorization.

232591968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 232591968 is about 15250.9661333307. The cubic root of 232591968 is about 614.9855400130.

The spelling of 232591968 in words is "two hundred thirty-two million, five hundred ninety-one thousand, nine hundred sixty-eight".