6553632 has 48 divisors (see below), whose sum is σ = 18113760. Its totient is φ = 2068992.

The previous prime is 6553621. The next prime is 6553663. The reversal of 6553632 is 2363556.

6553632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6553632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 3620.

It is an arithmetic number, because the mean of its divisors is an integer number (377370).

Almost surely, 2^6553632 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 6553632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056880).

6553632 is an abundant number, since it is smaller than the sum of its proper divisors (11560128).

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

6553632 is a wasteful number, since it uses less digits than its factorization.

6553632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3617 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 6553632 is about 2560.0062499924. The cubic root of 6553632 is about 187.1374398303.

It can be divided in two parts, 65536 and 32, that multiplied together give a 21-st power (2097152 = 2²¹).

The spelling of 6553632 in words is "six million, five hundred fifty-three thousand, six hundred thirty-two".