6291200 has 54 divisors (see below), whose sum is σ = 15587544. Its totient is φ = 2513920.

The previous prime is 6291191. The next prime is 6291209. The reversal of 6291200 is 21926.

It is an interprime number because it is at equal distance from previous prime (6291191) and next prime (6291209).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6291209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5909 + ... + 6891.

Almost surely, 2^6291200 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 6291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793772).

6291200 is an abundant number, since it is smaller than the sum of its proper divisors (9296344).

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

6291200 is an equidigital number, since it uses as much as digits as its factorization.

6291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 6291200 is about 2508.2264650545. The cubic root of 6291200 is about 184.6054410599.

The spelling of 6291200 in words is "six million, two hundred ninety-one thousand, two hundred".