6363936 has 72 divisors (see below), whose sum is σ = 19066320. Its totient is φ = 2007936.

The previous prime is 6363923. The next prime is 6363937. The reversal of 6363936 is 6393636.

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 a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6363936.

It is not an unprimeable number, because it can be changed into a prime (6363937) 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, 4891 + ... + 6053.

It is an arithmetic number, because the mean of its divisors is an integer number (264810).

Almost surely, 2^6363936 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 6363936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533160).

6363936 is an abundant number, since it is smaller than the sum of its proper divisors (12702384).

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

6363936 is a wasteful number, since it uses less digits than its factorization.

6363936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1187 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 6363936 is about 2522.6842846460. The cubic root of 6363936 is about 185.3141581988.

The spelling of 6363936 in words is "six million, three hundred sixty-three thousand, nine hundred thirty-six".