6026227200 has 960 divisors, whose sum is σ = 26304030720. Its totient is φ = 1322680320.

The previous prime is 6026227177. The next prime is 6026227211. The reversal of 6026227200 is 27226206.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113702374 + ... + 113702426.

It is an arithmetic number, because the mean of its divisors is an integer number (27400032).

Almost surely, 2^6026227200 is an apocalyptic number.

6026227200 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 6026227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152015360).

6026227200 is an abundant number, since it is smaller than the sum of its proper divisors (20277803520).

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

6026227200 is a wasteful number, since it uses less digits than its factorization.

6026227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6026227200 is about 77628.7781689239. The cubic root of 6026227200 is about 1819.7644101929.

The spelling of 6026227200 in words is "six billion, twenty-six million, two hundred twenty-seven thousand, two hundred".