84960144 has 80 divisors (see below), whose sum is σ = 245371200. Its totient is φ = 28145664.

The previous prime is 84960143. The next prime is 84960149. The reversal of 84960144 is 44106948.

It is a happy number.

84960144 is a `hidden beast` number, since 8 + 4 + 9 + 601 + 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 = 84960099 and 84960108.

It is not an unprimeable number, because it can be changed into a prime (84960143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82867 + ... + 83885.

It is an arithmetic number, because the mean of its divisors is an integer number (3067140).

Almost surely, 2^84960144 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 84960144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122685600).

84960144 is an abundant number, since it is smaller than the sum of its proper divisors (160411056).

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

84960144 is a wasteful number, since it uses less digits than its factorization.

84960144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1217 counting only the distinct ones).

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

The square root of 84960144 is about 9217.3827087737. The cubic root of 84960144 is about 439.6142348863.

The spelling of 84960144 in words is "eighty-four million, nine hundred sixty thousand, one hundred forty-four".