1129603968 has 192 divisors, whose sum is σ = 3519734400. Its totient is φ = 359935488.

The previous prime is 1129603949. The next prime is 1129604033. The reversal of 1129603968 is 8693069211.

It is a happy number.

1129603968 is a `hidden beast` number, since 11 + 29 + 603 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 714603 + ... + 716181.

It is an arithmetic number, because the mean of its divisors is an integer number (18331950).

Almost surely, 2^1129603968 is an apocalyptic number.

1129603968 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 1129603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759867200).

1129603968 is an abundant number, since it is smaller than the sum of its proper divisors (2390130432).

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

1129603968 is an equidigital number, since it uses as much as digits as its factorization.

1129603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1129603968 is about 33609.5814909975. The cubic root of 1129603968 is about 1041.4587419134.

The spelling of 1129603968 in words is "one billion, one hundred twenty-nine million, six hundred three thousand, nine hundred sixty-eight".