6114000 has 80 divisors (see below), whose sum is σ = 19730880. Its totient is φ = 1628800.

The previous prime is 6113981. The next prime is 6114001. The reversal of 6114000 is 4116.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6114001) 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 15 ways as a sum of consecutive naturals, for example, 5491 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (246636).

Almost surely, 2^6114000 is an apocalyptic number.

6114000 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 6114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865440).

6114000 is an abundant number, since it is smaller than the sum of its proper divisors (13616880).

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

6114000 is a wasteful number, since it uses less digits than its factorization.

6114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 6114000 is about 2472.6503998746. The cubic root of 6114000 is about 182.8556896276.

Adding to 6114000 its reverse (4116), we get a palindrome (6118116).

The spelling of 6114000 in words is "six million, one hundred fourteen thousand".