256671360 has 192 divisors, whose sum is σ = 967131360. Its totient is φ = 62208000.

The previous prime is 256671353. The next prime is 256671367. The reversal of 256671360 is 63176652.

256671360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256671353) and next prime (256671367).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (256671367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61335 + ... + 65385.

Almost surely, 2^256671360 is an apocalyptic number.

256671360 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 256671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483565680).

256671360 is an abundant number, since it is smaller than the sum of its proper divisors (710460000).

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

256671360 is a wasteful number, since it uses less digits than its factorization.

256671360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 256671360 is about 16020.9662629943. The cubic root of 256671360 is about 635.5149975115.

The spelling of 256671360 in words is "two hundred fifty-six million, six hundred seventy-one thousand, three hundred sixty".