6390900 has 108 divisors (see below), whose sum is σ = 20852832. Its totient is φ = 1697760.

The previous prime is 6390893. The next prime is 6390907. The reversal of 6390900 is 90936.

It is an interprime number because it is at equal distance from previous prime (6390893) and next prime (6390907).

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6390907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24169 + ... + 24431.

Almost surely, 2^6390900 is an apocalyptic number.

6390900 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 6390900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426416).

6390900 is an abundant number, since it is smaller than the sum of its proper divisors (14461932).

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

6390900 is a wasteful number, since it uses less digits than its factorization.

6390900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 6390900 is about 2528.0229429339. The cubic root of 6390900 is about 185.5755148164.

The spelling of 6390900 in words is "six million, three hundred ninety thousand, nine hundred".