256598641 has 8 divisors (see below), whose sum is σ = 285866280. Its totient is φ = 228692352.

The previous prime is 256598621. The next prime is 256598653. The reversal of 256598641 is 146895652.

It can be written as a sum of positive squares in 4 ways, for example, as 9480241 + 247118400 = 3079^2 + 15720^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256598641 - 2⁵ = 256598609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 256598591 and 256598600.

It is not an unprimeable number, because it can be changed into a prime (256598621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339940 + ... + 340693.

It is an arithmetic number, because the mean of its divisors is an integer number (35733285).

Almost surely, 2^256598641 is an apocalyptic number.

It is an amenable number.

256598641 is a deficient number, since it is larger than the sum of its proper divisors (29267639).

256598641 is a wasteful number, since it uses less digits than its factorization.

256598641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680675.

The product of its digits is 518400, while the sum is 46.

The square root of 256598641 is about 16018.6966074022. The cubic root of 256598641 is about 635.4549747387.

The spelling of 256598641 in words is "two hundred fifty-six million, five hundred ninety-eight thousand, six hundred forty-one".