256034160 has 120 divisors (see below), whose sum is σ = 897290784. Its totient is φ = 65303040.

The previous prime is 256034153. The next prime is 256034189. The reversal of 256034160 is 61430652.

256034160 is a `hidden beast` number, since 2 + 560 + 3 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8830 + ... + 24290.

Almost surely, 2^256034160 is an apocalyptic number.

256034160 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 256034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448645392).

256034160 is an abundant number, since it is smaller than the sum of its proper divisors (641256624).

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

256034160 is a wasteful number, since it uses less digits than its factorization.

256034160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15503 (or 15494 counting only the distinct ones).

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

The square root of 256034160 is about 16001.0674643912. The cubic root of 256034160 is about 634.9886620416.

The spelling of 256034160 in words is "two hundred fifty-six million, thirty-four thousand, one hundred sixty".