83393856 has 336 divisors, whose sum is σ = 309172864. Its totient is φ = 20901888.

The previous prime is 83393833. The next prime is 83393861. The reversal of 83393856 is 65839338.

It is a tau number, because it is divible by the number of its divisors (336).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 83393856 = 80³ + 436³ = 202³ + 422³.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1939371 + ... + 1939413.

Almost surely, 2^83393856 is an apocalyptic number.

83393856 is a gapful number since it is divisible by the number (86) 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 83393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154586432).

83393856 is an abundant number, since it is smaller than the sum of its proper divisors (225779008).

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

83393856 is a wasteful number, since it uses less digits than its factorization.

83393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 105 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 83393856 is about 9132.0236530574. The cubic root of 83393856 is about 436.8959496177.

The spelling of 83393856 in words is "eighty-three million, three hundred ninety-three thousand, eight hundred fifty-six".