256827600 has 90 divisors (see below), whose sum is σ = 891275606. Its totient is φ = 68486400.

The previous prime is 256827583. The next prime is 256827601. The reversal of 256827600 is 6728652.

256827600 is a `hidden beast` number, since 25 + 6 + 8 + 27 + 600 = 666.

256827600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 571536 + 256256064 = 756^2 + 16008^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×256827600² = 131920832243520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256827601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32071 + ... + 39270.

Almost surely, 2^256827600 is an apocalyptic number.

256827600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256827600 is an abundant number, since it is smaller than the sum of its proper divisors (634448006).

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

256827600 is a wasteful number, since it uses less digits than its factorization.

256827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71365 (or 71351 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 256827600 is about 16025.8416315649. The cubic root of 256827600 is about 635.6439207682.

The spelling of 256827600 in words is "two hundred fifty-six million, eight hundred twenty-seven thousand, six hundred".