1162255968 has 216 divisors, whose sum is σ = 3582895680. Its totient is φ = 356590080.

The previous prime is 1162255957. The next prime is 1162255993. The reversal of 1162255968 is 8695522611.

1162255968 is a `hidden beast` number, since 1 + 16 + 22 + 559 + 68 = 666.

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 35 ways as a sum of consecutive naturals, for example, 17347071 + ... + 17347137.

It is an arithmetic number, because the mean of its divisors is an integer number (16587480).

Almost surely, 2^1162255968 is an apocalyptic number.

1162255968 is a gapful number since it is divisible by the number (18) 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 1162255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791447840).

1162255968 is an abundant number, since it is smaller than the sum of its proper divisors (2420639712).

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

1162255968 is a wasteful number, since it uses less digits than its factorization.

1162255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 132 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1162255968 is about 34091.8753957596. The cubic root of 1162255968 is about 1051.3982785910.

The spelling of 1162255968 in words is "one billion, one hundred sixty-two million, two hundred fifty-five thousand, nine hundred sixty-eight".