6126540 has 96 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 1349376.

The previous prime is 6126481. The next prime is 6126541. The reversal of 6126540 is 456216.

It is a self number, because there is not a number n which added to its sum of digits gives 6126540.

It is not an unprimeable number, because it can be changed into a prime (6126541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11929 + ... + 12431.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^6126540 is an apocalyptic number.

6126540 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 6126540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

6126540 is an abundant number, since it is smaller than the sum of its proper divisors (14194740).

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

6126540 is a wasteful number, since it uses less digits than its factorization.

6126540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6126540 is about 2475.1848415825. The cubic root of 6126540 is about 182.9806184496.

It can be divided in two parts, 6126 and 540, that added together give a palindrome (6666).

The spelling of 6126540 in words is "six million, one hundred twenty-six thousand, five hundred forty".