83584320 has 112 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 21999616.

The previous prime is 83584307. The next prime is 83584321. The reversal of 83584320 is 2348538.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83584321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79156 + ... + 80204.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^83584320 is an apocalyptic number.

83584320 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 83584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

83584320 is an abundant number, since it is smaller than the sum of its proper divisors (185249280).

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

83584320 is a wasteful number, since it uses less digits than its factorization.

83584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 83584320 is about 9142.4460621871. The cubic root of 83584320 is about 437.2283069564.

The spelling of 83584320 in words is "eighty-three million, five hundred eighty-four thousand, three hundred twenty".