6766368 has 48 divisors (see below), whose sum is σ = 20301120. Its totient is φ = 1933056.

The previous prime is 6766321. The next prime is 6766369. The reversal of 6766368 is 8636676.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6766368² = 91567471822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6766369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4363 + ... + 5706.

It is an arithmetic number, because the mean of its divisors is an integer number (422940).

Almost surely, 2^6766368 is an apocalyptic number.

It is an amenable number.

6766368 is an abundant number, since it is smaller than the sum of its proper divisors (13534752).

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

6766368 is a wasteful number, since it uses less digits than its factorization.

6766368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10089 (or 10081 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 6766368 is about 2601.2243271198. The cubic root of 6766368 is about 189.1407926040.

The spelling of 6766368 in words is "six million, seven hundred sixty-six thousand, three hundred sixty-eight".