6360900 has 144 divisors (see below), whose sum is σ = 22748544. Its totient is φ = 1336320.

The previous prime is 6360899. The next prime is 6360923. The reversal of 6360900 is 90636.

It is a super-2 number, since 2×6360900² = 80922097620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27184 + ... + 27416.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 2^6360900 is an apocalyptic number.

6360900 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 6360900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374272).

6360900 is an abundant number, since it is smaller than the sum of its proper divisors (16387644).

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

6360900 is a wasteful number, since it uses less digits than its factorization.

6360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 6360900 is about 2522.0824728783. The cubic root of 6360900 is about 185.2846846531.

It can be divided in two parts, 6360 and 900, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6360900 in words is "six million, three hundred sixty thousand, nine hundred".