6135840 has 72 divisors (see below), whose sum is σ = 20943468. Its totient is φ = 1635840.

The previous prime is 6135839. The next prime is 6135859. The reversal of 6135840 is 485316.

6135840 is a `hidden beast` number, since 613 + 5 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 318096 = 2412^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691 + ... + 3570.

Almost surely, 2^6135840 is an apocalyptic number.

6135840 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 6135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10471734).

6135840 is an abundant number, since it is smaller than the sum of its proper divisors (14807628).

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

6135840 is a wasteful number, since it uses less digits than its factorization.

6135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6135840 is about 2477.0627767580. The cubic root of 6135840 is about 183.0731589600.

The spelling of 6135840 in words is "six million, one hundred thirty-five thousand, eight hundred forty".