83853616 has 80 divisors (see below), whose sum is σ = 209629440. Its totient is φ = 31530240.

The previous prime is 83853613. The next prime is 83853629. The reversal of 83853616 is 61635838.

It is not an unprimeable number, because it can be changed into a prime (83853611) 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 15 ways as a sum of consecutive naturals, for example, 34555 + ... + 36901.

It is an arithmetic number, because the mean of its divisors is an integer number (2620368).

Almost surely, 2^83853616 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 83853616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104814720).

83853616 is an abundant number, since it is smaller than the sum of its proper divisors (125775824).

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

83853616 is a wasteful number, since it uses less digits than its factorization.

83853616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2396 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 83853616 is about 9157.1620057745. The cubic root of 83853616 is about 437.6973646659.

The spelling of 83853616 in words is "eighty-three million, eight hundred fifty-three thousand, six hundred sixteen".