83231968 has 24 divisors (see below), whose sum is σ = 167862240. Its totient is φ = 40600320.

The previous prime is 83231947. The next prime is 83231969. The reversal of 83231968 is 86913238.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83231968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83231969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30408 + ... + 33031.

It is an arithmetic number, because the mean of its divisors is an integer number (6994260).

Almost surely, 2^83231968 is an apocalyptic number.

It is an amenable number.

83231968 is an abundant number, since it is smaller than the sum of its proper divisors (84630272).

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

83231968 is a wasteful number, since it uses less digits than its factorization.

83231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63490 (or 63482 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 83231968 is about 9123.1555944202. The cubic root of 83231968 is about 436.6130589618.

The spelling of 83231968 in words is "eighty-three million, two hundred thirty-one thousand, nine hundred sixty-eight".