6249200 has 60 divisors (see below), whose sum is σ = 15914160. Its totient is φ = 2350080.

The previous prime is 6249193. The next prime is 6249211. The reversal of 6249200 is 29426.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6341 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (265236).

Almost surely, 2^6249200 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 6249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957080).

6249200 is an abundant number, since it is smaller than the sum of its proper divisors (9664960).

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

6249200 is a wasteful number, since it uses less digits than its factorization.

6249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6249200 is about 2499.8399948797. The cubic root of 6249200 is about 184.1937153295.

The spelling of 6249200 in words is "six million, two hundred forty-nine thousand, two hundred".