6330900 has 72 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1648640.

The previous prime is 6330887. The next prime is 6330901. The reversal of 6330900 is 90336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6330901) 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, 13876 + ... + 14324.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^6330900 is an apocalyptic number.

6330900 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 6330900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

6330900 is an abundant number, since it is smaller than the sum of its proper divisors (12417900).

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

6330900 is a wasteful number, since it uses less digits than its factorization.

6330900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 6330900 is about 2516.1279776673. The cubic root of 6330900 is about 184.9929386153.

It can be divided in two parts, 6330 and 900, that multiplied together give a triangular number (5697000 = T₃₃₇₅).

The spelling of 6330900 in words is "six million, three hundred thirty thousand, nine hundred".