6612500 has 54 divisors (see below), whose sum is σ = 15120126. Its totient is φ = 2530000.

The previous prime is 6612499. The next prime is 6612539. The reversal of 6612500 is 52166.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 3055504 + 3556996 = 1748^2 + 1886^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 287489 + ... + 287511.

Almost surely, 2^6612500 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 6612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560063).

6612500 is an abundant number, since it is smaller than the sum of its proper divisors (8507626).

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

6612500 is an equidigital number, since it uses as much as digits as its factorization.

6612500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 6612500 is about 2571.4781741248. The cubic root of 6612500 is about 187.6960911489.

Multiplying 6612500 by its sum of digits (20), we get a square (132250000 = 11500²).

6612500 divided by its sum of digits (20) gives a square (330625 = 575²).

Adding to 6612500 its reverse (52166), we get a palindrome (6664666).

The spelling of 6612500 in words is "six million, six hundred twelve thousand, five hundred".