1086440256 has 224 divisors, whose sum is σ = 3545189760. Its totient is φ = 323481600.

The previous prime is 1086440249. The next prime is 1086440261. The reversal of 1086440256 is 6520446801.

1086440256 is a `hidden beast` number, since 1 + 0 + 8 + 644 + 0 + 2 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1086440256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159020 + ... + 1159956.

It is an arithmetic number, because the mean of its divisors is an integer number (15826740).

Almost surely, 2^1086440256 is an apocalyptic number.

1086440256 is a gapful number since it is divisible by the number (16) 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 1086440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772594880).

1086440256 is an abundant number, since it is smaller than the sum of its proper divisors (2458749504).

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

1086440256 is a wasteful number, since it uses less digits than its factorization.

1086440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1086440256 is about 32961.1931822863. The cubic root of 1086440256 is about 1028.0209133406.

The spelling of 1086440256 in words is "one billion, eighty-six million, four hundred forty thousand, two hundred fifty-six".