6116000 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 2208000.

The previous prime is 6115979. The next prime is 6116009. The reversal of 6116000 is 6116.

It is not an unprimeable number, because it can be changed into a prime (6116009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43931 + ... + 44069.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^6116000 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 6116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

6116000 is an abundant number, since it is smaller than the sum of its proper divisors (10395040).

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

6116000 is a wasteful number, since it uses less digits than its factorization.

6116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 6116000 is about 2473.0547911439. The cubic root of 6116000 is about 182.8756259219.

6116000 divided by its reverse (6116) gives a cube (1000 = 10³).

It can be divided in two parts, 61 and 16000, that added together give a palindrome (16061).

The spelling of 6116000 in words is "six million, one hundred sixteen thousand".