6552960 has 64 divisors (see below), whose sum is σ = 20893680. Its totient is φ = 1746944.

The previous prime is 6552937. The next prime is 6552961. The reversal of 6552960 is 692556.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 3626.

Almost surely, 2^6552960 is an apocalyptic number.

6552960 is a gapful number since it is divisible by the number (60) 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 6552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446840).

6552960 is an abundant number, since it is smaller than the sum of its proper divisors (14340720).

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

6552960 is a wasteful number, since it uses less digits than its factorization.

6552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 6552960 is about 2559.8749969481. The cubic root of 6552960 is about 187.1310433437.

The spelling of 6552960 in words is "six million, five hundred fifty-two thousand, nine hundred sixty".