6000540 has 144 divisors (see below), whose sum is σ = 21182112. Its totient is φ = 1257984.

The previous prime is 6000529. The next prime is 6000551. The reversal of 6000540 is 450006.

It is an interprime number because it is at equal distance from previous prime (6000529) and next prime (6000551).

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

6000540 is a modest number, since divided by 540 gives 60 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38142 + ... + 38298.

It is an arithmetic number, because the mean of its divisors is an integer number (147098).

Almost surely, 2^6000540 is an apocalyptic number.

6000540 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 6000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591056).

6000540 is an abundant number, since it is smaller than the sum of its proper divisors (15181572).

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

6000540 is a wasteful number, since it uses less digits than its factorization.

6000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

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

The square root of 6000540 is about 2449.5999673416. The cubic root of 6000540 is about 181.7175104815.

Adding to 6000540 its reverse (450006), we get a palindrome (6450546).

It can be divided in two parts, 6000 and 540, that multiplied together give a square (3240000 = 1800²).

The spelling of 6000540 in words is "six million, five hundred forty", and thus it is an aban number.