84820320 has 288 divisors, whose sum is σ = 326918592. Its totient is φ = 19869696.

The previous prime is 84820319. The next prime is 84820321. The reversal of 84820320 is 2302848.

It is an interprime number because it is at equal distance from previous prime (84820319) and next prime (84820321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84820321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430462 + ... + 430658.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 2^84820320 is an apocalyptic number.

84820320 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 84820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

84820320 is an abundant number, since it is smaller than the sum of its proper divisors (242098272).

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

84820320 is a wasteful number, since it uses less digits than its factorization.

84820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84820320 is about 9209.7947859874. The cubic root of 84820320 is about 439.3729359681.

The spelling of 84820320 in words is "eighty-four million, eight hundred twenty thousand, three hundred twenty".