6126720 has 64 divisors (see below), whose sum is σ = 19535040. Its totient is φ = 1633280.

The previous prime is 6126709. The next prime is 6126727. The reversal of 6126720 is 276216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6126727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 2^6126720 is an apocalyptic number.

6126720 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 6126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767520).

6126720 is an abundant number, since it is smaller than the sum of its proper divisors (13408320).

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

6126720 is a wasteful number, since it uses less digits than its factorization.

6126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6126720 is about 2475.2212022363. The cubic root of 6126720 is about 182.9824104447.

The spelling of 6126720 in words is "six million, one hundred twenty-six thousand, seven hundred twenty".