6553536 has 112 divisors (see below), whose sum is σ = 19751040. Its totient is φ = 1899520.

The previous prime is 6553511. The next prime is 6553541. The reversal of 6553536 is 6353556.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (40500) is a multiple of the sum of its prime factors (162).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6553497 and 6553506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61195 + ... + 61301.

Almost surely, 2^6553536 is an apocalyptic number.

6553536 is a gapful number since it is divisible by the number (66) 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 6553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875520).

6553536 is an abundant number, since it is smaller than the sum of its proper divisors (13197504).

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

6553536 is a wasteful number, since it uses less digits than its factorization.

6553536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its digits is 40500, while the sum is 33.

The square root of 6553536 is about 2559.9874999695. The cubic root of 6553536 is about 187.1365260733.

The spelling of 6553536 in words is "six million, five hundred fifty-three thousand, five hundred thirty-six".