84180096 has 384 divisors, whose sum is σ = 329696640. Its totient is φ = 19906560.

The previous prime is 84180091. The next prime is 84180113. The reversal of 84180096 is 69008148.

84180096 = 90³ + 91³ + ... + 141³.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84180096.

It is not an unprimeable number, because it can be changed into a prime (84180091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153116 + ... + 1153188.

It is an arithmetic number, because the mean of its divisors is an integer number (858585).

Almost surely, 2^84180096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164848320).

84180096 is an abundant number, since it is smaller than the sum of its proper divisors (245516544).

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

84180096 is a wasteful number, since it uses less digits than its factorization.

84180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 84180096 is about 9174.9711716168. The cubic root of 84180096 is about 438.2646802061.

The spelling of 84180096 in words is "eighty-four million, one hundred eighty thousand, ninety-six".