104584320 has 192 divisors, whose sum is σ = 367885440. Its totient is φ = 27371520.

The previous prime is 104584309. The next prime is 104584321. The reversal of 104584320 is 23485401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104584321) 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, 385785 + ... + 386055.

It is an arithmetic number, because the mean of its divisors is an integer number (1916070).

Almost surely, 2^104584320 is an apocalyptic number.

104584320 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 104584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183942720).

104584320 is an abundant number, since it is smaller than the sum of its proper divisors (263301120).

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

104584320 is a wasteful number, since it uses less digits than its factorization.

104584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104584320 is about 10226.6475445280. The cubic root of 104584320 is about 471.1460187997.

The spelling of 104584320 in words is "one hundred four million, five hundred eighty-four thousand, three hundred twenty".