6012800 has 48 divisors (see below), whose sum is σ = 14861400. Its totient is φ = 2403840.

The previous prime is 6012779. The next prime is 6012803. The reversal of 6012800 is 82106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6012803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2261 + ... + 4139.

Almost surely, 2^6012800 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 6012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430700).

6012800 is an abundant number, since it is smaller than the sum of its proper divisors (8848600).

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

6012800 is a wasteful number, since it uses less digits than its factorization.

6012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 6012800 is about 2452.1011398391. The cubic root of 6012800 is about 181.8411849684.

Adding to 6012800 its reverse (82106), we get a palindrome (6094906).

The spelling of 6012800 in words is "six million, twelve thousand, eight hundred".