6553820 has 72 divisors (see below), whose sum is σ = 17093664. Its totient is φ = 2066688.

The previous prime is 6553817. The next prime is 6553889. The reversal of 6553820 is 283556.

6553820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6553820³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23522 + ... + 23798.

It is an arithmetic number, because the mean of its divisors is an integer number (237412).

Almost surely, 2^6553820 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 6553820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8546832).

6553820 is an abundant number, since it is smaller than the sum of its proper divisors (10539844).

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

6553820 is a wasteful number, since it uses less digits than its factorization.

6553820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 6553820 is about 2560.0429683894. The cubic root of 6553820 is about 187.1392292453.

The spelling of 6553820 in words is "six million, five hundred fifty-three thousand, eight hundred twenty".