6586920 has 160 divisors (see below), whose sum is σ = 23522400. Its totient is φ = 1648512.

The previous prime is 6586919. The next prime is 6586927. The reversal of 6586920 is 296856.

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

It is not an unprimeable number, because it can be changed into a prime (6586927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61507 + ... + 61613.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

Almost surely, 2^6586920 is an apocalyptic number.

6586920 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 6586920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761200).

6586920 is an abundant number, since it is smaller than the sum of its proper divisors (16935480).

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

6586920 is a wasteful number, since it uses less digits than its factorization.

6586920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6586920 is about 2566.4995616598. The cubic root of 6586920 is about 187.4537485919.

Subtracting from 6586920 its reverse (296856), we obtain a square (6290064 = 2508²).

The spelling of 6586920 in words is "six million, five hundred eighty-six thousand, nine hundred twenty".