108584320 has 128 divisors (see below), whose sum is σ = 289255680. Its totient is φ = 38707200.

The previous prime is 108584317. The next prime is 108584339. The reversal of 108584320 is 23485801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

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, 257710 + ... + 258130.

It is an arithmetic number, because the mean of its divisors is an integer number (2259810).

Almost surely, 2^108584320 is an apocalyptic number.

108584320 is a gapful number since it is divisible by the number (10) 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 108584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144627840).

108584320 is an abundant number, since it is smaller than the sum of its proper divisors (180671360).

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

108584320 is a wasteful number, since it uses less digits than its factorization.

108584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 108584320 is about 10420.3800314576. The cubic root of 108584320 is about 477.0776141053.

The spelling of 108584320 in words is "one hundred eight million, five hundred eighty-four thousand, three hundred twenty".