6114960 has 160 divisors (see below), whose sum is σ = 22320000. Its totient is φ = 1534464.

The previous prime is 6114929. The next prime is 6114989. The reversal of 6114960 is 694116.

6114960 is a `hidden beast` number, since 611 + 49 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40966 + ... + 41114.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

Almost surely, 2^6114960 is an apocalyptic number.

6114960 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 6114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160000).

6114960 is an abundant number, since it is smaller than the sum of its proper divisors (16205040).

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

6114960 is a wasteful number, since it uses less digits than its factorization.

6114960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6114960 is about 2472.8445159371. The cubic root of 6114960 is about 182.8652595913.

The spelling of 6114960 in words is "six million, one hundred fourteen thousand, nine hundred sixty".