6117000 has 64 divisors (see below), whose sum is σ = 19094400. Its totient is φ = 1630400.

The previous prime is 6116989. The next prime is 6117037. The reversal of 6117000 is 7116.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 1981 + ... + 4019.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 2^6117000 is an apocalyptic number.

6117000 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 6117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

6117000 is an abundant number, since it is smaller than the sum of its proper divisors (12977400).

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

6117000 is a wasteful number, since it uses less digits than its factorization.

6117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 6117000 is about 2473.2569619835. The cubic root of 6117000 is about 182.8855924392.

The spelling of 6117000 in words is "six million, one hundred seventeen thousand".