2016000 has 216 divisors, whose sum is σ = 8290464. Its totient is φ = 460800.

The previous prime is 2015999. The next prime is 2016017. The reversal of 2016000 is 6102.

2016000 = 30³ + 31³ + ... + 54³.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287997 + ... + 288003.

2^2016000 is an apocalyptic number.

2016000 is a gapful number since it is divisible by the number (20) 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 2016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145232).

2016000 is an abundant number, since it is smaller than the sum of its proper divisors (6274464).

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

2016000 is an equidigital number, since it uses as much as digits as its factorization.

2016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2016000 is about 1419.8591479439. The cubic root of 2016000 is about 126.3271919531.

The spelling of 2016000 in words is "two million, sixteen thousand".