6117840 has 120 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 1569792.

The previous prime is 6117833. The next prime is 6117851. The reversal of 6117840 is 487116.

6117840 = T₆₃₅ + T₆₃₆ + ... + T₆₆₃.

It is a happy number.

6117840 is a `hidden beast` number, since 611 + 7 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 4112784 = 1416^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20734 + ... + 21026.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 2^6117840 is an apocalyptic number.

6117840 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 6117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

6117840 is an abundant number, since it is smaller than the sum of its proper divisors (15208920).

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

6117840 is a wasteful number, since it uses less digits than its factorization.

6117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 6117840 is about 2473.4267727184. The cubic root of 6117840 is about 182.8939634743.

The spelling of 6117840 in words is "six million, one hundred seventeen thousand, eight hundred forty".