6761640 has 96 divisors (see below), whose sum is σ = 21322080. Its totient is φ = 1714944.

The previous prime is 6761633. The next prime is 6761659. The reversal of 6761640 is 461676.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6761598 and 6761607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100887 + ... + 100953.

It is an arithmetic number, because the mean of its divisors is an integer number (222105).

Almost surely, 2^6761640 is an apocalyptic number.

6761640 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 6761640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661040).

6761640 is an abundant number, since it is smaller than the sum of its proper divisors (14560440).

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

6761640 is a wasteful number, since it uses less digits than its factorization.

6761640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6761640 is about 2600.3153654893. The cubic root of 6761640 is about 189.0967282928.

The spelling of 6761640 in words is "six million, seven hundred sixty-one thousand, six hundred forty".