83634432 has 144 divisors (see below), whose sum is σ = 260585472. Its totient is φ = 23316480.

The previous prime is 83634403. The next prime is 83634443. The reversal of 83634432 is 23443638.

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

It is a junction number, because it is equal to n+sod(n) for n = 83634393 and 83634402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252507 + ... + 252837.

Almost surely, 2^83634432 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 83634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130292736).

83634432 is an abundant number, since it is smaller than the sum of its proper divisors (176951040).

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

83634432 is a wasteful number, since it uses less digits than its factorization.

83634432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 83634432 is about 9145.1862747568. The cubic root of 83634432 is about 437.3156678700.

The spelling of 83634432 in words is "eighty-three million, six hundred thirty-four thousand, four hundred thirty-two".