96084144 has 120 divisors (see below), whose sum is σ = 300470352. Its totient is φ = 29548800.

The previous prime is 96084143. The next prime is 96084151. The reversal of 96084144 is 44148069.

It is a happy number.

96084144 is a `hidden beast` number, since 9 + 608 + 4 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96084099 and 96084108.

It is not an unprimeable number, because it can be changed into a prime (96084143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49594 + ... + 51494.

Almost surely, 2^96084144 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 96084144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150235176).

96084144 is an abundant number, since it is smaller than the sum of its proper divisors (204386208).

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

96084144 is a wasteful number, since it uses less digits than its factorization.

96084144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 96084144 is about 9802.2519861509. The cubic root of 96084144 is about 458.0194368924.

The spelling of 96084144 in words is "ninety-six million, eighty-four thousand, one hundred forty-four".