83091904 has 84 divisors (see below), whose sum is σ = 195724272. Its totient is φ = 34283520.

The previous prime is 83091889. The next prime is 83091907. The reversal of 83091904 is 40919038.

It is a self number, because there is not a number n which added to its sum of digits gives 83091904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83091907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 430432 + ... + 430624.

Almost surely, 2^83091904 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 83091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97862136).

83091904 is an abundant number, since it is smaller than the sum of its proper divisors (112632368).

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

83091904 is a wasteful number, since it uses less digits than its factorization.

83091904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 83091904 is about 9115.4760709466. The cubic root of 83091904 is about 436.3680084579.

The spelling of 83091904 in words is "eighty-three million, ninety-one thousand, nine hundred four".