6581952 has 112 divisors (see below), whose sum is σ = 20909280. Its totient is φ = 2018304.

The previous prime is 6581929. The next prime is 6581959. The reversal of 6581952 is 2591856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (6581959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22318 + ... + 22610.

It is an arithmetic number, because the mean of its divisors is an integer number (186690).

Almost surely, 2^6581952 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 6581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10454640).

6581952 is an abundant number, since it is smaller than the sum of its proper divisors (14327328).

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

6581952 is a wasteful number, since it uses less digits than its factorization.

6581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 6581952 is about 2565.5315238757. The cubic root of 6581952 is about 187.4066094915.

The spelling of 6581952 in words is "six million, five hundred eighty-one thousand, nine hundred fifty-two".