83416432 has 40 divisors (see below), whose sum is σ = 177814512. Its totient is φ = 37906880.

The previous prime is 83416387. The next prime is 83416439. The reversal of 83416432 is 23461438.

It is a super-2 number, since 2×83416432² = 13916602255221248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83416394 and 83416403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83416439) 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, 19338 + ... + 23254.

Almost surely, 2^83416432 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 83416432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88907256).

83416432 is an abundant number, since it is smaller than the sum of its proper divisors (94398080).

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

83416432 is a wasteful number, since it uses less digits than its factorization.

83416432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3930 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 83416432 is about 9133.2596590702. The cubic root of 83416432 is about 436.9353708793.

The spelling of 83416432 in words is "eighty-three million, four hundred sixteen thousand, four hundred thirty-two".