84220320 has 96 divisors (see below), whose sum is σ = 268773120. Its totient is φ = 22164480.

The previous prime is 84220309. The next prime is 84220333. The reversal of 84220320 is 2302248.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36810 + ... + 39030.

It is an arithmetic number, because the mean of its divisors is an integer number (2799720).

Almost surely, 2^84220320 is an apocalyptic number.

84220320 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 84220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134386560).

84220320 is an abundant number, since it is smaller than the sum of its proper divisors (184552800).

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

84220320 is a wasteful number, since it uses less digits than its factorization.

84220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 84220320 is about 9177.1629603053. The cubic root of 84220320 is about 438.3344748180.

Adding to 84220320 its reverse (2302248), we get a palindrome (86522568).

The spelling of 84220320 in words is "eighty-four million, two hundred twenty thousand, three hundred twenty".