6523680 has 48 divisors (see below), whose sum is σ = 20551104. Its totient is φ = 1739520.

The previous prime is 6523663. The next prime is 6523681. The reversal of 6523680 is 863256.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6523681) 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, 6316 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (428148).

Almost surely, 2^6523680 is an apocalyptic number.

6523680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6523680 is an abundant number, since it is smaller than the sum of its proper divisors (14027424).

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

6523680 is a wasteful number, since it uses less digits than its factorization.

6523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13609 (or 13601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6523680 is about 2554.1495649237. The cubic root of 6523680 is about 186.8519136068.

The spelling of 6523680 in words is "six million, five hundred twenty-three thousand, six hundred eighty".