6761600 has 48 divisors (see below), whose sum is σ = 16711170. Its totient is φ = 2703360.

The previous prime is 6761569. The next prime is 6761603. The reversal of 6761600 is 61676.

It can be written as a sum of positive squares in 3 ways, for example, as 2534464 + 4227136 = 1592^2 + 2056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6761600.

It is not an unprimeable number, because it can be changed into a prime (6761603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2144 + ... + 4256.

Almost surely, 2^6761600 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 6761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8355585).

6761600 is an abundant number, since it is smaller than the sum of its proper divisors (9949570).

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

6761600 is a wasteful number, since it uses less digits than its factorization.

6761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 6761600 is about 2600.3076741032. The cubic root of 6761600 is about 189.0963554106.

It can be divided in two parts, 676 and 1600, that multiplied together give a square (1081600 = 1040²).

The spelling of 6761600 in words is "six million, seven hundred sixty-one thousand, six hundred".