84900096 has 144 divisors (see below), whose sum is σ = 256072320. Its totient is φ = 27740160.

The previous prime is 84900083. The next prime is 84900131. The reversal of 84900096 is 69000948.

It is a tau number, because it is divible by the number of its divisors (144).

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 84900096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490666 + ... + 490838.

It is an arithmetic number, because the mean of its divisors is an integer number (1778280).

Almost surely, 2^84900096 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 84900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128036160).

84900096 is an abundant number, since it is smaller than the sum of its proper divisors (171172224).

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

84900096 is a wasteful number, since it uses less digits than its factorization.

84900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 84900096 is about 9214.1248092263. The cubic root of 84900096 is about 439.5106405186.

The spelling of 84900096 in words is "eighty-four million, nine hundred thousand, ninety-six".