6127940 has 108 divisors (see below), whose sum is σ = 16647876. Its totient is φ = 1886976.

The previous prime is 6127931. The next prime is 6127949. The reversal of 6127940 is 497216.

It is an interprime number because it is at equal distance from previous prime (6127931) and next prime (6127949).

It can be written as a sum of positive squares in 6 ways, for example, as 329476 + 5798464 = 574^2 + 2408^2 .

It is not an unprimeable number, because it can be changed into a prime (6127949) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165602 + ... + 165638.

It is an arithmetic number, because the mean of its divisors is an integer number (154147).

Almost surely, 2^6127940 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 6127940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323938).

6127940 is an abundant number, since it is smaller than the sum of its proper divisors (10519936).

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

6127940 is a wasteful number, since it uses less digits than its factorization.

6127940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 6127940 is about 2475.4676325899. The cubic root of 6127940 is about 182.9945552642.

The spelling of 6127940 in words is "six million, one hundred twenty-seven thousand, nine hundred forty".