6006312 has 160 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 1710720.

The previous prime is 6006293. The next prime is 6006313. The reversal of 6006312 is 2136006.

It is a happy number.

6006312 is a `hidden beast` number, since 600 + 63 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (6006313) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 193737 + ... + 193767.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

Almost surely, 2^6006312 is an apocalyptic number.

6006312 is a gapful number since it is divisible by the number (62) 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 6006312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757440).

6006312 is an abundant number, since it is smaller than the sum of its proper divisors (13508568).

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

6006312 is a wasteful number, since it uses less digits than its factorization.

6006312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6006312 is about 2450.7778357085. Note that the first 3 decimals coincide. The cubic root of 6006312 is about 181.7757573138.

The spelling of 6006312 in words is "six million, six thousand, three hundred twelve".