104480640 has 384 divisors, whose sum is σ = 421031520. Its totient is φ = 23592960.

The previous prime is 104480627. The next prime is 104480641. The reversal of 104480640 is 46084401.

104480640 is a `hidden beast` number, since 10 + 4 + 4 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104480641) 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 47 ways as a sum of consecutive naturals, for example, 1077072 + ... + 1077168.

Almost surely, 2^104480640 is an apocalyptic number.

104480640 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 104480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

104480640 is an abundant number, since it is smaller than the sum of its proper divisors (316550880).

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

104480640 is a wasteful number, since it uses less digits than its factorization.

104480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

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

The square root of 104480640 is about 10221.5771777158. The cubic root of 104480640 is about 470.9902766192.

The spelling of 104480640 in words is "one hundred four million, four hundred eighty thousand, six hundred forty".