6220585800 has 540 divisors, whose sum is σ = 24876099885. Its totient is φ = 1392019200.

The previous prime is 6220585799. The next prime is 6220585801. The reversal of 6220585800 is 85850226.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6220585800 is a `hidden beast` number, since 6 + 2 + 20 + 58 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6220585799) and next prime (6220585801).

It can be written as a sum of positive squares in 8 ways, for example, as 3956158404 + 2264427396 = 62898^2 + 47586^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=55770.

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 (6220585801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 478506594 + ... + 478506606.

Almost surely, 2^6220585800 is an apocalyptic number.

6220585800 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 6220585800

6220585800 is an abundant number, since it is smaller than the sum of its proper divisors (18655514085).

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

6220585800 is a wasteful number, since it uses less digits than its factorization.

6220585800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6220585800 is about 78870.6903735475. The cubic root of 6220585800 is about 1839.1215285156.

The spelling of 6220585800 in words is "six billion, two hundred twenty million, five hundred eighty-five thousand, eight hundred".