6875136 has 72 divisors (see below), whose sum is σ = 19909890. Its totient is φ = 2285568.

The previous prime is 6875129. The next prime is 6875153. The reversal of 6875136 is 6315786.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 1115136 = 2400^2 + 1056^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (30240) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 6875136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18246 + ... + 18618.

Almost surely, 2^6875136 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 6875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9954945).

6875136 is an abundant number, since it is smaller than the sum of its proper divisors (13034754).

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

6875136 is a wasteful number, since it uses less digits than its factorization.

6875136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 6875136 is about 2622.0480544796. The cubic root of 6875136 is about 190.1488768517.

The spelling of 6875136 in words is "six million, eight hundred seventy-five thousand, one hundred thirty-six".