96144 has 20 divisors (see below), whose sum is σ = 248496. Its totient is φ = 32032.

The previous prime is 96137. The next prime is 96149. The reversal of 96144 is 44169.

It is a Harshad number since it is a multiple of its sum of digits (24).

96144 is a modest number, since divided by 144 gives 96 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96144.

It is not an unprimeable number, because it can be changed into a prime (96149) by changing a digit.

96144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 954 + ... + 1049.

2⁹⁶¹⁴⁴ is an apocalyptic number.

It is an amenable number.

96144 is an abundant number, since it is smaller than the sum of its proper divisors (152352).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124248).

96144 is a wasteful number, since it uses less digits than its factorization.

96144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2008 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 96144 is about 310.0709596205. The cubic root of 96144 is about 45.8114525494.

It can be divided in two parts, 96 and 144, that multiplied together give a cube (13824 = 24³).

The spelling of 96144 in words is "ninety-six thousand, one hundred forty-four".