83219616 has 96 divisors (see below), whose sum is σ = 246859200. Its totient is φ = 27267840.

The previous prime is 83219603. The next prime is 83219651. The reversal of 83219616 is 61691238.

83219616 is a `hidden beast` number, since 8 + 32 + 1 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 51915 + ... + 53493.

It is an arithmetic number, because the mean of its divisors is an integer number (2571450).

Almost surely, 2^83219616 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 83219616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123429600).

83219616 is an abundant number, since it is smaller than the sum of its proper divisors (163639584).

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

83219616 is a wasteful number, since it uses less digits than its factorization.

83219616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1645 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 83219616 is about 9122.4786105532. The cubic root of 83219616 is about 436.5914594432.

The spelling of 83219616 in words is "eighty-three million, two hundred nineteen thousand, six hundred sixteen".