81883968 has 56 divisors (see below), whose sum is σ = 229404672. Its totient is φ = 25688064.

The previous prime is 81883957. The next prime is 81883973. The reversal of 81883968 is 86938818.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 81883968.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9280 + ... + 15807.

It is an arithmetic number, because the mean of its divisors is an integer number (4096512).

Almost surely, 2^81883968 is an apocalyptic number.

It is an amenable number.

81883968 is an abundant number, since it is smaller than the sum of its proper divisors (147520704).

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

81883968 is a wasteful number, since it uses less digits than its factorization.

81883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25119 (or 25109 counting only the distinct ones).

The product of its digits is 663552, while the sum is 51.

The square root of 81883968 is about 9048.9760746728. The cubic root of 81883968 is about 434.2431336039.

The spelling of 81883968 in words is "eighty-one million, eight hundred eighty-three thousand, nine hundred sixty-eight".