256111020 has 144 divisors (see below), whose sum is σ = 855298080. Its totient is φ = 62029440.

The previous prime is 256110983. The next prime is 256111021. The reversal of 256111020 is 20111652.

256111020 is a `hidden beast` number, since 2 + 561 + 1 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 256110984 and 256111002.

It is not an unprimeable number, because it can be changed into a prime (256111021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239046 + ... + 240114.

It is an arithmetic number, because the mean of its divisors is an integer number (5939570).

Almost surely, 2^256111020 is an apocalyptic number.

256111020 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 256111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427649040).

256111020 is an abundant number, since it is smaller than the sum of its proper divisors (599187060).

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

256111020 is a wasteful number, since it uses less digits than its factorization.

256111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 256111020 is about 16003.4689989389. The cubic root of 256111020 is about 635.0521956806.

Adding to 256111020 its reverse (20111652), we get a palindrome (276222672).

The spelling of 256111020 in words is "two hundred fifty-six million, one hundred eleven thousand, twenty".