84408832 has 40 divisors (see below), whose sum is σ = 172809252. Its totient is φ = 41164800.

The previous prime is 84408829. The next prime is 84408833. The reversal of 84408832 is 23880448.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 23193856 = 7824^2 + 4816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84408791 and 84408800.

It is not an unprimeable number, because it can be changed into a prime (84408833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18982 + ... + 23002.

Almost surely, 2^84408832 is an apocalyptic number.

84408832 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86404626).

84408832 is an abundant number, since it is smaller than the sum of its proper divisors (88400420).

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

84408832 is an equidigital number, since it uses as much as digits as its factorization.

84408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 84408832 is about 9187.4279316901. The cubic root of 84408832 is about 438.6612753387.

The spelling of 84408832 in words is "eighty-four million, four hundred eight thousand, eight hundred thirty-two".