256612320 has 192 divisors, whose sum is σ = 905748480. Its totient is φ = 67852800.

The previous prime is 256612313. The next prime is 256612351. The reversal of 256612320 is 23216652.

256612320 is a `hidden beast` number, since 25 + 6 + 612 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824965 + ... + 825275.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2^256612320 is an apocalyptic number.

256612320 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 256612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

256612320 is an abundant number, since it is smaller than the sum of its proper divisors (649136160).

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

256612320 is a wasteful number, since it uses less digits than its factorization.

256612320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 256612320 is about 16019.1235715316. The cubic root of 256612320 is about 635.4662663471.

Adding to 256612320 its reverse (23216652), we get a palindrome (279828972).

The spelling of 256612320 in words is "two hundred fifty-six million, six hundred twelve thousand, three hundred twenty".