256006800 has 180 divisors, whose sum is σ = 1015431040. Its totient is φ = 58510080.

The previous prime is 256006783. The next prime is 256006837. The reversal of 256006800 is 8600652.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20121 + ... + 30279.

Almost surely, 2^256006800 is an apocalyptic number.

256006800 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 256006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507715520).

256006800 is an abundant number, since it is smaller than the sum of its proper divisors (759424240).

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

256006800 is a wasteful number, since it uses less digits than its factorization.

256006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10190 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 256006800 is about 16000.2124985889. The cubic root of 256006800 is about 634.9660427829.

It can be divided in two parts, 25600 and 6800, that added together give a square (32400 = 180²).

The spelling of 256006800 in words is "two hundred fifty-six million, six thousand, eight hundred".