6903936 has 96 divisors (see below), whose sum is σ = 21441420. Its totient is φ = 2119680.

The previous prime is 6903913. The next prime is 6903937. The reversal of 6903936 is 6393096.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 553536 = 2520^2 + 744^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 6903936.

It is not an unprimeable number, because it can be changed into a prime (6903937) 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, 14746 + ... + 15206.

Almost surely, 2^6903936 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 6903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720710).

6903936 is an abundant number, since it is smaller than the sum of its proper divisors (14537484).

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

6903936 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 6903936 = (3996036)₁₁.

6903936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 6903936 is about 2627.5342052959. The cubic root of 6903936 is about 190.4140186933.

The spelling of 6903936 in words is "six million, nine hundred three thousand, nine hundred thirty-six".