83904 has 56 divisors (see below), whose sum is σ = 243840. Its totient is φ = 25344.

The previous prime is 83903. The next prime is 83911. The reversal of 83904 is 40938.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3637 + ... + 3659.

2⁸³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121920).

83904 is an abundant number, since it is smaller than the sum of its proper divisors (159936).

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

83904 is a wasteful number, since it uses less digits than its factorization.

83904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83904 is about 289.6618718437. The cubic root of 83904 is about 43.7785011566.

The spelling of 83904 in words is "eighty-three thousand, nine hundred four".