5535648 has 96 divisors (see below), whose sum is σ = 16632000. Its totient is φ = 1790208.

The previous prime is 5535637. The next prime is 5535653. The reversal of 5535648 is 8465355.

5535648 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 648 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37078 + ... + 37226.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

Almost surely, 2^5535648 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 5535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316000).

5535648 is an abundant number, since it is smaller than the sum of its proper divisors (11096352).

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

5535648 is a wasteful number, since it uses less digits than its factorization.

5535648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5535648 is about 2352.7957837432. The cubic root of 5535648 is about 176.8979589953.

The spelling of 5535648 in words is "five million, five hundred thirty-five thousand, six hundred forty-eight".