84044480 has 112 divisors (see below), whose sum is σ = 218907360. Its totient is φ = 30547968.

The previous prime is 84044479. The next prime is 84044483. The reversal of 84044480 is 8444048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84044483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370127 + ... + 370353.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2^84044480 is an apocalyptic number.

84044480 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 84044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

84044480 is an abundant number, since it is smaller than the sum of its proper divisors (134862880).

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

84044480 is a wasteful number, since it uses less digits than its factorization.

84044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 84044480 is about 9167.5776517028. The cubic root of 84044480 is about 438.0292023370.

The spelling of 84044480 in words is "eighty-four million, forty-four thousand, four hundred eighty".