6126480 has 120 divisors (see below), whose sum is σ = 21046272. Its totient is φ = 1596672.

The previous prime is 6126473. The next prime is 6126481. The reversal of 6126480 is 846216.

6126480 is a `hidden beast` number, since 6 + 12 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (6126481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48177 + ... + 48303.

Almost surely, 2^6126480 is an apocalyptic number.

6126480 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 6126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523136).

6126480 is an abundant number, since it is smaller than the sum of its proper divisors (14919792).

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

6126480 is a wasteful number, since it uses less digits than its factorization.

6126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6126480 is about 2475.1727212459. The cubic root of 6126480 is about 182.9800211101.

The spelling of 6126480 in words is "six million, one hundred twenty-six thousand, four hundred eighty".