6135936 has 96 divisors (see below), whose sum is σ = 17768400. Its totient is φ = 1870848.

The previous prime is 6135931. The next prime is 6135947. The reversal of 6135936 is 6395316.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6135897 and 6135906.

It is not an unprimeable number, because it can be changed into a prime (6135931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211570 + ... + 211598.

Almost surely, 2^6135936 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 6135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884200).

6135936 is an abundant number, since it is smaller than the sum of its proper divisors (11632464).

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

6135936 is a wasteful number, since it uses less digits than its factorization.

6135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its digits is 14580, while the sum is 33.

The square root of 6135936 is about 2477.0821544713. The cubic root of 6135936 is about 183.0741137291.

Adding to 6135936 its product of digits (14580), we get a palindrome (6150516).

The spelling of 6135936 in words is "six million, one hundred thirty-five thousand, nine hundred thirty-six".