104584480 has 192 divisors, whose sum is σ = 332252928. Its totient is φ = 30044160.

The previous prime is 104584477. The next prime is 104584499. The reversal of 104584480 is 84485401.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 159834 + ... + 160486.

It is an arithmetic number, because the mean of its divisors is an integer number (1730484).

Almost surely, 2^104584480 is an apocalyptic number.

104584480 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 104584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166126464).

104584480 is an abundant number, since it is smaller than the sum of its proper divisors (227668448).

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

104584480 is a wasteful number, since it uses less digits than its factorization.

104584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 104584480 is about 10226.6553672254. The cubic root of 104584480 is about 471.1462590630.

The spelling of 104584480 in words is "one hundred four million, five hundred eighty-four thousand, four hundred eighty".