6581940 has 48 divisors (see below), whose sum is σ = 18570048. Its totient is φ = 1741824.

The previous prime is 6581929. The next prime is 6581959. The reversal of 6581940 is 491856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9444 + ... + 10116.

It is an arithmetic number, because the mean of its divisors is an integer number (386876).

Almost surely, 2^6581940 is an apocalyptic number.

6581940 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 6581940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285024).

6581940 is an abundant number, since it is smaller than the sum of its proper divisors (11988108).

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

6581940 is a wasteful number, since it uses less digits than its factorization.

6581940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 6581940 is about 2565.5291851780. The cubic root of 6581940 is about 187.4064956003.

The spelling of 6581940 in words is "six million, five hundred eighty-one thousand, nine hundred forty".