83536992 has 144 divisors (see below), whose sum is σ = 296255232. Its totient is φ = 21692160.

The previous prime is 83536987. The next prime is 83536993. The reversal of 83536992 is 29963538.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83536993) 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 23 ways as a sum of consecutive naturals, for example, 20293 + ... + 24059.

It is an arithmetic number, because the mean of its divisors is an integer number (2057328).

Almost surely, 2^83536992 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 83536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148127616).

83536992 is an abundant number, since it is smaller than the sum of its proper divisors (212718240).

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

83536992 is a wasteful number, since it uses less digits than its factorization.

83536992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3790 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 83536992 is about 9139.8573293022. The cubic root of 83536992 is about 437.1457673595.

The spelling of 83536992 in words is "eighty-three million, five hundred thirty-six thousand, nine hundred ninety-two".