6002016 has 48 divisors (see below), whose sum is σ = 15934464. Its totient is φ = 1977984.

The previous prime is 6001997. The next prime is 6002033. The reversal of 6002016 is 6102006.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 6001986 and 6002004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9585 + ... + 10191.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 2^6002016 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 6002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967232).

6002016 is an abundant number, since it is smaller than the sum of its proper divisors (9932448).

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

6002016 is a wasteful number, since it uses less digits than its factorization.

6002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6002016 is about 2449.9012224986. The cubic root of 6002016 is about 181.7324087549.

The spelling of 6002016 in words is "six million, two thousand, sixteen".