6249000 has 64 divisors (see below), whose sum is σ = 19506240. Its totient is φ = 1665600.

The previous prime is 6248999. The next prime is 6249029. The reversal of 6249000 is 9426.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959 + ... + 4041.

It is an arithmetic number, because the mean of its divisors is an integer number (304785).

Almost surely, 2^6249000 is an apocalyptic number.

6249000 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 6249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753120).

6249000 is an abundant number, since it is smaller than the sum of its proper divisors (13257240).

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

6249000 is a wasteful number, since it uses less digits than its factorization.

6249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 6249000 is about 2499.7999919994. The cubic root of 6249000 is about 184.1917503240.

The spelling of 6249000 in words is "six million, two hundred forty-nine thousand".