6767640 has 96 divisors (see below), whose sum is σ = 24008400. Its totient is φ = 1639680.

The previous prime is 6767639. The next prime is 6767647. The reversal of 6767640 is 467676.

6767640 is a `hidden beast` number, since 6 + 7 + 6 + 7 + 640 = 666.

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 junction number, because it is equal to n+sod(n) for n = 6767595 and 6767604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6767647) 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, 3106 + ... + 4814.

Almost surely, 2^6767640 is an apocalyptic number.

6767640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6767640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004200).

6767640 is an abundant number, since it is smaller than the sum of its proper divisors (17240760).

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

6767640 is a wasteful number, since it uses less digits than its factorization.

6767640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6767640 is about 2601.4688158808. The cubic root of 6767640 is about 189.1526439652.

Adding to 6767640 its sum of digits (36), we get a palindrome (6767676).

The spelling of 6767640 in words is "six million, seven hundred sixty-seven thousand, six hundred forty".