6767964 has 72 divisors (see below), whose sum is σ = 19813248. Its totient is φ = 1908000.

The previous prime is 6767963. The next prime is 6767977. The reversal of 6767964 is 4697676.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6767963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26839 + ... + 27089.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^6767964 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 6767964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624).

6767964 is an abundant number, since it is smaller than the sum of its proper divisors (13045284).

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

6767964 is a wasteful number, since it uses less digits than its factorization.

6767964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 370 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 6767964 is about 2601.5310876482. The cubic root of 6767964 is about 189.1556624708.

The spelling of 6767964 in words is "six million, seven hundred sixty-seven thousand, nine hundred sixty-four".