83084616 has 96 divisors (see below), whose sum is σ = 236745600. Its totient is φ = 27293760.

The previous prime is 83084591. The next prime is 83084629. The reversal of 83084616 is 61648038.

It is a happy number.

83084616 is a `hidden beast` number, since 8 + 30 + 8 + 4 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 153306 + ... + 153846.

It is an arithmetic number, because the mean of its divisors is an integer number (2466100).

Almost surely, 2^83084616 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 83084616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118372800).

83084616 is an abundant number, since it is smaller than the sum of its proper divisors (153660984).

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

83084616 is a wasteful number, since it uses less digits than its factorization.

83084616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83084616 is about 9115.0763024782. The cubic root of 83084616 is about 436.3552501229.

The spelling of 83084616 in words is "eighty-three million, eighty-four thousand, six hundred sixteen".