1136083968 has 110 divisors (see below), whose sum is σ = 3392816526. Its totient is φ = 378667008.

The previous prime is 1136083943. The next prime is 1136083969. The reversal of 1136083968 is 8693806311.

It is a happy number.

1136083968 is a `hidden beast` number, since 1 + 1 + 3 + 608 + 39 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 656999424 + 479084544 = 25632^2 + 21888^2 .

It is not an unprimeable number, because it can be changed into a prime (1136083969) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 76096 + ... + 89792.

Almost surely, 2^1136083968 is an apocalyptic number.

1136083968 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 1136083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696408263).

1136083968 is an abundant number, since it is smaller than the sum of its proper divisors (2256732558).

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

1136083968 is an equidigital number, since it uses as much as digits as its factorization.

1136083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13729 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1136083968 is about 33705.8447157166. The cubic root of 1136083968 is about 1043.4463969400.

The spelling of 1136083968 in words is "one billion, one hundred thirty-six million, eighty-three thousand, nine hundred sixty-eight".