6252000 has 96 divisors (see below), whose sum is σ = 20520864. Its totient is φ = 1664000.

The previous prime is 6251989. The next prime is 6252011. The reversal of 6252000 is 2526.

It is an interprime number because it is at equal distance from previous prime (6251989) and next prime (6252011).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11740 + ... + 12260.

It is an arithmetic number, because the mean of its divisors is an integer number (213759).

Almost surely, 2^6252000 is an apocalyptic number.

6252000 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 6252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260432).

6252000 is an abundant number, since it is smaller than the sum of its proper divisors (14268864).

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

6252000 is a wasteful number, since it uses less digits than its factorization.

6252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 6252000 is about 2500.3999680051. The cubic root of 6252000 is about 184.2212210046.

Adding to 6252000 its reverse (2526), we get a palindrome (6254526).

The spelling of 6252000 in words is "six million, two hundred fifty-two thousand".