256128000 has 352 divisors, whose sum is σ = 919676160. Its totient is φ = 63078400.

The previous prime is 256127917. The next prime is 256128017. The reversal of 256128000 is 821652.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8831986 + ... + 8832014.

Almost surely, 2^256128000 is an apocalyptic number.

256128000 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 256128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459838080).

256128000 is an abundant number, since it is smaller than the sum of its proper divisors (663548160).

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

256128000 is a wasteful number, since it uses less digits than its factorization.

256128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 256128000 is about 16003.9995001250. Note that the first 3 decimals coincide. The cubic root of 256128000 is about 635.0662298912.

Adding to 256128000 its reverse (821652), we get a palindrome (256949652).

It can be divided in two parts, 256 and 128000, that multiplied together give a cube (32768000 = 320³).

The spelling of 256128000 in words is "two hundred fifty-six million, one hundred twenty-eight thousand".