6114880 has 56 divisors (see below), whose sum is σ = 14785848. Its totient is φ = 2408448.

The previous prime is 6114877. The next prime is 6114881. The reversal of 6114880 is 884116.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 4064256 = 1432^2 + 2016^2 .

It is not an unprimeable number, because it can be changed into a prime (6114881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30942 + ... + 31138.

It is an arithmetic number, because the mean of its divisors is an integer number (264033).

Almost surely, 2^6114880 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 6114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7392924).

6114880 is an abundant number, since it is smaller than the sum of its proper divisors (8670968).

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

6114880 is a wasteful number, since it uses less digits than its factorization.

6114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 6114880 is about 2472.8283401805. The cubic root of 6114880 is about 182.8644621326.

Adding to 6114880 its reverse (884116), we get a palindrome (6998996).

It can be divided in two parts, 61 and 14880, that added together give a palindrome (14941).

The spelling of 6114880 in words is "six million, one hundred fourteen thousand, eight hundred eighty".