5966000 has 80 divisors (see below), whose sum is σ = 15281760. Its totient is φ = 2246400.

The previous prime is 5965979. The next prime is 5966011. The reversal of 5966000 is 6695.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 37922 + ... + 38078.

It is an arithmetic number, because the mean of its divisors is an integer number (191022).

Almost surely, 2^5966000 is an apocalyptic number.

5966000 is a gapful number since it is divisible by the number (50) 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 5966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640880).

5966000 is an abundant number, since it is smaller than the sum of its proper divisors (9315760).

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

5966000 is a wasteful number, since it uses less digits than its factorization.

5966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 5966000 is about 2442.5396619093. The cubic root of 5966000 is about 181.3681750140.

The spelling of 5966000 in words is "five million, nine hundred sixty-six thousand".