6625600 has 84 divisors (see below), whose sum is σ = 16866108. Its totient is φ = 2560000.

The previous prime is 6625579. The next prime is 6625603. The reversal of 6625600 is 65266.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 6512704 = 336^2 + 2552^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6625603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65550 + ... + 65650.

It is an arithmetic number, because the mean of its divisors is an integer number (200787).

Almost surely, 2^6625600 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 6625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8433054).

6625600 is an abundant number, since it is smaller than the sum of its proper divisors (10240508).

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

6625600 is a wasteful number, since it uses less digits than its factorization.

6625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 6625600 is about 2574.0240869114. The cubic root of 6625600 is about 187.8199574052.

It can be divided in two parts, 6625 and 600, that added together give a square (7225 = 85²).

The spelling of 6625600 in words is "six million, six hundred twenty-five thousand, six hundred".