6001600 has 126 divisors (see below), whose sum is σ = 16755872. Its totient is φ = 2112000.

The previous prime is 6001577. The next prime is 6001601. The reversal of 6001600 is 61006.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001601) 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 17 ways as a sum of consecutive naturals, for example, 193585 + ... + 193615.

Almost surely, 2^6001600 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 6001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377936).

6001600 is an abundant number, since it is smaller than the sum of its proper divisors (10754272).

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

6001600 is a wasteful number, since it uses less digits than its factorization.

6001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 6001600 is about 2449.8163196452. The cubic root of 6001600 is about 181.7282100307.

Adding to 6001600 its reverse (61006), we get a palindrome (6062606).

The spelling of 6001600 in words is "six million, one thousand, six hundred".