84144096 has 84 divisors (see below), whose sum is σ = 248443272. Its totient is φ = 28040256.

The previous prime is 84144091. The next prime is 84144139. The reversal of 84144096 is 69044148.

It is a happy number.

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 84144096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84144091) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21525 + ... + 25131.

It is an arithmetic number, because the mean of its divisors is an integer number (2957658).

Almost surely, 2^84144096 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 84144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221636).

84144096 is an abundant number, since it is smaller than the sum of its proper divisors (164299176).

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

84144096 is an equidigital number, since it uses as much as digits as its factorization.

84144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3612 counting only the distinct ones).

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

The square root of 84144096 is about 9173.0091027972. The cubic root of 84144096 is about 438.2021960050.

The spelling of 84144096 in words is "eighty-four million, one hundred forty-four thousand, ninety-six".