83689632 has 96 divisors (see below), whose sum is σ = 262906560. Its totient is φ = 25747200.

The previous prime is 83689631. The next prime is 83689667. The reversal of 83689632 is 23698638.

83689632 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 9 + 632 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (83689631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7507 + ... + 14957.

It is an arithmetic number, because the mean of its divisors is an integer number (2738610).

Almost surely, 2^83689632 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 83689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131453280).

83689632 is an abundant number, since it is smaller than the sum of its proper divisors (179216928).

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

83689632 is a wasteful number, since it uses less digits than its factorization.

83689632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7469 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 83689632 is about 9148.2037581156. The cubic root of 83689632 is about 437.4118583797.

The spelling of 83689632 in words is "eighty-three million, six hundred eighty-nine thousand, six hundred thirty-two".