256167936 has 78 divisors (see below), whose sum is σ = 740056850. Its totient is φ = 85377024.

The previous prime is 256167881. The next prime is 256167941. The reversal of 256167936 is 639761652.

256167936 is a `hidden beast` number, since 25 + 616 + 7 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247873536 + 8294400 = 15744^2 + 2880^2 .

It is a super-2 number, since 2×256167936² = 131244022869000192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256167891 and 256167900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33390 + ... + 40338.

Almost surely, 2^256167936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370028425).

256167936 is an abundant number, since it is smaller than the sum of its proper divisors (483888914).

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

256167936 is an equidigital number, since it uses as much as digits as its factorization.

256167936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6954 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 256167936 is about 16005.2471396102. The cubic root of 256167936 is about 635.0992351163.

The spelling of 256167936 in words is "two hundred fifty-six million, one hundred sixty-seven thousand, nine hundred thirty-six".