2016384 has 64 divisors (see below), whose sum is σ = 5508000. Its totient is φ = 653312.

The previous prime is 2016373. The next prime is 2016397. The reversal of 2016384 is 4836102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2016384³ = 24594669032347533312, which contains 333 as substring.

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

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22612 + ... + 22700.

2^2016384 is an apocalyptic number.

2016384 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 2016384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754000).

2016384 is an abundant number, since it is smaller than the sum of its proper divisors (3491616).

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

2016384 is an equidigital number, since it uses as much as digits as its factorization.

2016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2016384 is about 1419.9943661860. The cubic root of 2016384 is about 126.3352122180.

The spelling of 2016384 in words is "two million, sixteen thousand, three hundred eighty-four".