6612768 has 36 divisors (see below), whose sum is σ = 18805878. Its totient is φ = 2204160.

The previous prime is 6612733. The next prime is 6612791. The reversal of 6612768 is 8672166.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 1468944 = 2268^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11193 + ... + 11768.

Almost surely, 2^6612768 is an apocalyptic number.

It is an amenable number.

6612768 is an abundant number, since it is smaller than the sum of its proper divisors (12193110).

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

6612768 is a wasteful number, since it uses less digits than its factorization.

6612768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22977 (or 22966 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 6612768 is about 2571.5302837027. The cubic root of 6612768 is about 187.6986268450.

The spelling of 6612768 in words is "six million, six hundred twelve thousand, seven hundred sixty-eight".