6578820 has 120 divisors (see below), whose sum is σ = 21466368. Its totient is φ = 1684800.

The previous prime is 6578801. The next prime is 6578821. The reversal of 6578820 is 288756.

6578820 is a `hidden beast` number, since 6 + 578 + 82 + 0 = 666.

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 (6578821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50155 + ... + 50285.

Almost surely, 2^6578820 is an apocalyptic number.

6578820 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 6578820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733184).

6578820 is an abundant number, since it is smaller than the sum of its proper divisors (14887548).

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

6578820 is a wasteful number, since it uses less digits than its factorization.

6578820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6578820 is about 2564.9210514166. The cubic root of 6578820 is about 187.3768791711.

Subtracting from 6578820 its reverse (288756), we obtain a square (6290064 = 2508²).

The spelling of 6578820 in words is "six million, five hundred seventy-eight thousand, eight hundred twenty".