84307104 has 288 divisors, whose sum is σ = 301916160. Its totient is φ = 21772800.

The previous prime is 84307087. The next prime is 84307151. The reversal of 84307104 is 40170348.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187389 + ... + 1187459.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^84307104 is an apocalyptic number.

84307104 is a gapful number since it is divisible by the number (84) 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 84307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

84307104 is an abundant number, since it is smaller than the sum of its proper divisors (217609056).

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

84307104 is a wasteful number, since it uses less digits than its factorization.

84307104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84307104 is about 9181.8900015193. The cubic root of 84307104 is about 438.4849822822.

The spelling of 84307104 in words is "eighty-four million, three hundred seven thousand, one hundred four".