6658560 has 180 divisors, whose sum is σ = 24496758. Its totient is φ = 1671168.

The previous prime is 6658541. The next prime is 6658573. The reversal of 6658560 is 658566.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 186624 = 2544^2 + 432^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 391672 + ... + 391688.

Almost surely, 2^6658560 is an apocalyptic number.

6658560 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 6658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248379).

6658560 is an abundant number, since it is smaller than the sum of its proper divisors (17838198).

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

6658560 is a wasteful number, since it uses less digits than its factorization.

6658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6658560 is about 2580.4185706974. The cubic root of 6658560 is about 188.1308881797.

The spelling of 6658560 in words is "six million, six hundred fifty-eight thousand, five hundred sixty".