84422880 has 144 divisors (see below), whose sum is σ = 300736800. Its totient is φ = 21525504.

The previous prime is 84422861. The next prime is 84422887. The reversal of 84422880 is 8822448.

It is a tau number, because it is divible by the number of its divisors (144).

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 (84422887) 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, 31846 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^84422880 is an apocalyptic number.

84422880 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 84422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150368400).

84422880 is an abundant number, since it is smaller than the sum of its proper divisors (216313920).

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

84422880 is a wasteful number, since it uses less digits than its factorization.

84422880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2582 counting only the distinct ones).

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

The square root of 84422880 is about 9188.1924228871. The cubic root of 84422880 is about 438.6856091737.

The spelling of 84422880 in words is "eighty-four million, four hundred twenty-two thousand, eight hundred eighty".