6601600 has 48 divisors (see below), whose sum is σ = 16315920. Its totient is φ = 2639360.

The previous prime is 6601561. The next prime is 6601601. The reversal of 6601600 is 61066.

It is a happy number.

It is a super-2 number, since 2×6601600² = 87162245120000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6601601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2169 + ... + 4231.

It is an arithmetic number, because the mean of its divisors is an integer number (339915).

Almost surely, 2^6601600 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 6601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157960).

6601600 is an abundant number, since it is smaller than the sum of its proper divisors (9714320).

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

6601600 is a wasteful number, since it uses less digits than its factorization.

6601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 6601600 is about 2569.3578964403. The cubic root of 6601600 is about 187.5929021096.

Adding to 6601600 its reverse (61066), we get a palindrome (6662666).

The spelling of 6601600 in words is "six million, six hundred one thousand, six hundred".