84448080 has 120 divisors (see below), whose sum is σ = 289086408. Its totient is φ = 22084608.

The previous prime is 84448051. The next prime is 84448081. The reversal of 84448080 is 8084448.

It can be written as a sum of positive squares in 4 ways, for example, as 42302016 + 42146064 = 6504^2 + 6492^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84448081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37054 + ... + 39266.

Almost surely, 2^84448080 is an apocalyptic number.

84448080 is a gapful number since it is divisible by the number (80) 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 84448080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144543204).

84448080 is an abundant number, since it is smaller than the sum of its proper divisors (204638328).

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

84448080 is a wasteful number, since it uses less digits than its factorization.

84448080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2276 counting only the distinct ones).

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

The square root of 84448080 is about 9189.5636457886. The cubic root of 84448080 is about 438.7292536517.

The spelling of 84448080 in words is "eighty-four million, four hundred forty-eight thousand, eighty".