6559920 has 80 divisors (see below), whose sum is σ = 22602720. Its totient is φ = 1748736.

The previous prime is 6559907. The next prime is 6559939. The reversal of 6559920 is 299556.

6559920 is a `hidden beast` number, since 65 + 599 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 642 + ... + 3678.

It is an arithmetic number, because the mean of its divisors is an integer number (282534).

Almost surely, 2^6559920 is an apocalyptic number.

6559920 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 6559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301360).

6559920 is an abundant number, since it is smaller than the sum of its proper divisors (16042800).

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

6559920 is a wasteful number, since it uses less digits than its factorization.

6559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 6559920 is about 2561.2340775493. The cubic root of 6559920 is about 187.1972714921.

The spelling of 6559920 in words is "six million, five hundred fifty-nine thousand, nine hundred twenty".