2016144 has 80 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 618624.

The previous prime is 2016139. The next prime is 2016181. The reversal of 2016144 is 4416102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5437 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2^2016144 is an apocalyptic number.

2016144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2016144 is an abundant number, since it is smaller than the sum of its proper divisors (4233456).

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

2016144 is a wasteful number, since it uses less digits than its factorization.

2016144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2016144 is about 1419.9098562937. The cubic root of 2016144 is about 126.3301996718.

The spelling of 2016144 in words is "two million, sixteen thousand, one hundred forty-four".