83616132 has 96 divisors (see below), whose sum is σ = 219469824. Its totient is φ = 24640000.

The previous prime is 83616101. The next prime is 83616151. The reversal of 83616132 is 23161638.

It is a self number, because there is not a number n which added to its sum of digits gives 83616132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333007 + ... + 333257.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2^83616132 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 83616132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912).

83616132 is an abundant number, since it is smaller than the sum of its proper divisors (135853692).

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

83616132 is a wasteful number, since it uses less digits than its factorization.

83616132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 83616132 is about 9144.1856936526. The cubic root of 83616132 is about 437.2837692834.

The spelling of 83616132 in words is "eighty-three million, six hundred sixteen thousand, one hundred thirty-two".