6115140 has 72 divisors (see below), whose sum is σ = 18928728. Its totient is φ = 1597440.

The previous prime is 6115139. The next prime is 6115141. The reversal of 6115140 is 415116.

6115140 is a `hidden beast` number, since 611 + 51 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6115139) and next prime (6115141).

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 3755844 = 1536^2 + 1938^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6115141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9220 + ... + 9860.

It is an arithmetic number, because the mean of its divisors is an integer number (262899).

Almost surely, 2^6115140 is an apocalyptic number.

6115140 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 6115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9464364).

6115140 is an abundant number, since it is smaller than the sum of its proper divisors (12813588).

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

6115140 is a wasteful number, since it uses less digits than its factorization.

6115140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 6115140 is about 2472.8809110024. The cubic root of 6115140 is about 182.8670538480.

The spelling of 6115140 in words is "six million, one hundred fifteen thousand, one hundred forty".