256220160 has 176 divisors, whose sum is σ = 936969216. Its totient is φ = 58540032.

The previous prime is 256220113. The next prime is 256220183. The reversal of 256220160 is 61022652.

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

It is a self number, because there is not a number n which added to its sum of digits gives 256220160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106329 + ... + 108711.

Almost surely, 2^256220160 is an apocalyptic number.

256220160 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 256220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468484608).

256220160 is an abundant number, since it is smaller than the sum of its proper divisors (680749056).

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

256220160 is a wasteful number, since it uses less digits than its factorization.

256220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256220160 is about 16006.8785214357. The cubic root of 256220160 is about 635.1423906199.

It can be divided in two parts, 2562 and 20160, that added together give a palindrome (22722).

The spelling of 256220160 in words is "two hundred fifty-six million, two hundred twenty thousand, one hundred sixty".