8406432 has 108 divisors (see below), whose sum is σ = 25646166. Its totient is φ = 2611200.

The previous prime is 8406367. The next prime is 8406439. The reversal of 8406432 is 2346048.

It can be written as a sum of positive squares in 3 ways, for example, as 8088336 + 318096 = 2844^2 + 564^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8406396 and 8406405.

It is not an unprimeable number, because it can be changed into a prime (8406439) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83182 + ... + 83282.

Almost surely, 2^8406432 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 8406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823083).

8406432 is an abundant number, since it is smaller than the sum of its proper divisors (17239734).

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

8406432 is a wasteful number, since it uses less digits than its factorization.

8406432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8406432 is about 2899.3847623246. The cubic root of 8406432 is about 203.3311427397.

The spelling of 8406432 in words is "eight million, four hundred six thousand, four hundred thirty-two".