6285087200 has 144 divisors (see below), whose sum is σ = 17611935264. Its totient is φ = 2145484800.

The previous prime is 6285087199. The next prime is 6285087209. The reversal of 6285087200 is 27805826.

It is a super-2 number, since 2×6285087200² = 79004642223207680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6285087209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347272 + ... + 1351928.

It is an arithmetic number, because the mean of its divisors is an integer number (122305106).

Almost surely, 2^6285087200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6285087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805967632).

6285087200 is an abundant number, since it is smaller than the sum of its proper divisors (11326848064).

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

6285087200 is a wasteful number, since it uses less digits than its factorization.

6285087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 6285087200 is about 79278.5418634828. The cubic root of 6285087200 is about 1845.4563149398.

The spelling of 6285087200 in words is "six billion, two hundred eighty-five million, eighty-seven thousand, two hundred".