6611072 has 64 divisors (see below), whose sum is σ = 14779800. Its totient is φ = 2924544.

The previous prime is 6611071. The next prime is 6611081. The reversal of 6611072 is 2701166.

It can be written as a sum of positive squares in 4 ways, for example, as 4910656 + 1700416 = 2216^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6611071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48188 + ... + 48324.

Almost surely, 2^6611072 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 6611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389900).

6611072 is an abundant number, since it is smaller than the sum of its proper divisors (8168728).

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

6611072 is a wasteful number, since it uses less digits than its factorization.

6611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 6611072 is about 2571.2004978220. The cubic root of 6611072 is about 187.6825788961.

The spelling of 6611072 in words is "six million, six hundred eleven thousand, seventy-two".