6535680 has 160 divisors (see below), whose sum is σ = 22391424. Its totient is φ = 1622016.

The previous prime is 6535673. The next prime is 6535681. The reversal of 6535680 is 865356.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×6535680² = 85430226124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6535681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176622 + ... + 176658.

Almost surely, 2^6535680 is an apocalyptic number.

6535680 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 6535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195712).

6535680 is an abundant number, since it is smaller than the sum of its proper divisors (15855744).

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

6535680 is a wasteful number, since it uses less digits than its factorization.

6535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6535680 is about 2556.4976041452. The cubic root of 6535680 is about 186.9664118423.

The spelling of 6535680 in words is "six million, five hundred thirty-five thousand, six hundred eighty".