84448008 has 100 divisors (see below), whose sum is σ = 249673215. Its totient is φ = 26667792.

The previous prime is 84447997. The next prime is 84448009. The reversal of 84448008 is 80084448.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42224004 + 42224004 = 6498^2 + 6498^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6498.

It is a super-3 number, since 3×84448008³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84448009) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 4444623 + ... + 4444641.

Almost surely, 2^84448008 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 84448008

84448008 is an abundant number, since it is smaller than the sum of its proper divisors (165225207).

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

84448008 is an frugal number, since it uses more digits than its factorization.

84448008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84448008 is about 9189.5597283004. The cubic root of 84448008 is about 438.7291289656.

Multiplying 84448008 by its product of nonzero digits (32768), we get a square (2767192326144 = 1663488²).

The spelling of 84448008 in words is "eighty-four million, four hundred forty-eight thousand, eight".