6001500 has 48 divisors (see below), whose sum is σ = 17480736. Its totient is φ = 1600000.

The previous prime is 6001483. The next prime is 6001517. The reversal of 6001500 is 51006.

It is an interprime number because it is at equal distance from previous prime (6001483) and next prime (6001517).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 501 + ... + 3500.

It is an arithmetic number, because the mean of its divisors is an integer number (364182).

Almost surely, 2^6001500 is an apocalyptic number.

6001500 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 6001500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740368).

6001500 is an abundant number, since it is smaller than the sum of its proper divisors (11479236).

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

6001500 is a wasteful number, since it uses less digits than its factorization.

6001500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 6001500 is about 2449.7959098668. The cubic root of 6001500 is about 181.7272006931.

Adding to 6001500 its reverse (51006), we get a palindrome (6052506).

The spelling of 6001500 in words is "six million, one thousand, five hundred".