6118000 has 160 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1900800.

The previous prime is 6117983. The next prime is 6118001. The reversal of 6118000 is 8116.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6118001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265989 + ... + 266011.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^6118000 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 6118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

6118000 is an abundant number, since it is smaller than the sum of its proper divisors (12452240).

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

6118000 is a wasteful number, since it uses less digits than its factorization.

6118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 6118000 is about 2473.4591162985. The cubic root of 6118000 is about 182.8955578703.

6118000 divided by its sum of digits (16) gives a triangular number (382375 = T₈₇₄).

The spelling of 6118000 in words is "six million, one hundred eighteen thousand".