6126768 has 60 divisors (see below), whose sum is σ = 17319328. Its totient is φ = 2021760.

The previous prime is 6126751. The next prime is 6126787. The reversal of 6126768 is 8676216.

It is a happy number.

It is a super-2 number, since 2×6126768² = 75074572251648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam 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 11 ways as a sum of consecutive naturals, for example, 22473 + ... + 22743.

Almost surely, 2^6126768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6126768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659664).

6126768 is an abundant number, since it is smaller than the sum of its proper divisors (11192560).

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

6126768 is a wasteful number, since it uses less digits than its factorization.

6126768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 6126768 is about 2475.2308983204. The cubic root of 6126768 is about 182.9828883041.

The spelling of 6126768 in words is "six million, one hundred twenty-six thousand, seven hundred sixty-eight".