5535936 has 84 divisors (see below), whose sum is σ = 18147792. Its totient is φ = 1580544.

The previous prime is 5535923. The next prime is 5535947. The reversal of 5535936 is 6395355.

It is a tau number, because it is divible by the number of its divisors (84).

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 5535936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3346 + ... + 4718.

Almost surely, 2^5535936 is an apocalyptic number.

5535936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5535936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073896).

5535936 is an abundant number, since it is smaller than the sum of its proper divisors (12611856).

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

5535936 is a wasteful number, since it uses less digits than its factorization.

5535936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1385 counting only the distinct ones).

The product of its digits is 60750, while the sum is 36.

The square root of 5535936 is about 2352.8569867291. The cubic root of 5535936 is about 176.9010267319.

The spelling of 5535936 in words is "five million, five hundred thirty-five thousand, nine hundred thirty-six".