83885920 has 24 divisors (see below), whose sum is σ = 198180864. Its totient is φ = 33554304.

The previous prime is 83885917. The next prime is 83885933. The reversal of 83885920 is 2958838.

83885920 is nontrivially palindromic in base 3.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261984 + ... + 262303.

It is an arithmetic number, because the mean of its divisors is an integer number (8257536).

Almost surely, 2^83885920 is an apocalyptic number.

83885920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83885920 is an abundant number, since it is smaller than the sum of its proper divisors (114294944).

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

83885920 is a wasteful number, since it uses less digits than its factorization.

83885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524302 (or 524294 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 83885920 is about 9158.9257011944. The cubic root of 83885920 is about 437.7535640327.

The spelling of 83885920 in words is "eighty-three million, eight hundred eighty-five thousand, nine hundred twenty".