256586620 has 48 divisors (see below), whose sum is σ = 565286400. Its totient is φ = 97644096.

The previous prime is 256586611. The next prime is 256586639. The reversal of 256586620 is 26685652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90139 + ... + 92941.

It is an arithmetic number, because the mean of its divisors is an integer number (11776800).

Almost surely, 2^256586620 is an apocalyptic number.

256586620 is a gapful number since it is divisible by the number (20) 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 256586620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282643200).

256586620 is an abundant number, since it is smaller than the sum of its proper divisors (308699780).

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

256586620 is a wasteful number, since it uses less digits than its factorization.

256586620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 256586620 is about 16018.3213852139. The cubic root of 256586620 is about 635.4450514287.

The spelling of 256586620 in words is "two hundred fifty-six million, five hundred eighty-six thousand, six hundred twenty".