6657560 has 128 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 2004480.

The previous prime is 6657533. The next prime is 6657571. The reversal of 6657560 is 657566.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6657560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112811 + ... + 112869.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^6657560 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 6657560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

6657560 is an abundant number, since it is smaller than the sum of its proper divisors (12696040).

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

6657560 is a wasteful number, since it uses less digits than its factorization.

6657560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 6657560 is about 2580.2247964083. The cubic root of 6657560 is about 188.1214697115.

The spelling of 6657560 in words is "six million, six hundred fifty-seven thousand, five hundred sixty".