6045840 has 120 divisors (see below), whose sum is σ = 21123648. Its totient is φ = 1607040.

The previous prime is 6045811. The next prime is 6045841. The reversal of 6045840 is 485406.

6045840 is a `hidden beast` number, since 604 + 58 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (6045841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19285 + ... + 19595.

Almost surely, 2^6045840 is an apocalyptic number.

6045840 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 6045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10561824).

6045840 is an abundant number, since it is smaller than the sum of its proper divisors (15077808).

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

6045840 is a wasteful number, since it uses less digits than its factorization.

6045840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6045840 is about 2458.8289895802. The cubic root of 6045840 is about 182.1736458087.

The spelling of 6045840 in words is "six million, forty-five thousand, eight hundred forty".