6117768 has 56 divisors (see below), whose sum is σ = 17214750. Its totient is φ = 2037312.

The previous prime is 6117767. The next prime is 6117779. The reversal of 6117768 is 8677116.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3992004 + 2125764 = 1998^2 + 1458^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6117763) 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 13 ways as a sum of consecutive naturals, for example, 5308 + ... + 6356.

Almost surely, 2^6117768 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 6117768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607375).

6117768 is an abundant number, since it is smaller than the sum of its proper divisors (11096982).

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

6117768 is a wasteful number, since it uses less digits than its factorization.

6117768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1054 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 6117768 is about 2473.4122179693. The cubic root of 6117768 is about 182.8932459871.

The spelling of 6117768 in words is "six million, one hundred seventeen thousand, seven hundred sixty-eight".