83693632 has 56 divisors (see below), whose sum is σ = 190743840. Its totient is φ = 36034560.

The previous prime is 83693591. The next prime is 83693633. The reversal of 83693632 is 23639638.

It is a super-3 number, since 3×83693632³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83693633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10248 + ... + 16504.

It is an arithmetic number, because the mean of its divisors is an integer number (3406140).

Almost surely, 2^83693632 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 83693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95371920).

83693632 is an abundant number, since it is smaller than the sum of its proper divisors (107050208).

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

83693632 is a wasteful number, since it uses less digits than its factorization.

83693632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6289 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The square root of 83693632 is about 9148.4223776562. The cubic root of 83693632 is about 437.4188270627.

The spelling of 83693632 in words is "eighty-three million, six hundred ninety-three thousand, six hundred thirty-two".