1129968 has 120 divisors (see below), whose sum is σ = 3868800. Its totient is φ = 300672.

The previous prime is 1129963. The next prime is 1129991. The reversal of 1129968 is 8699211.

It is a Cunningham number, because it is equal to 1063²-1.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129963) 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 23 ways as a sum of consecutive naturals, for example, 19123 + ... + 19181.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2^1129968 is an apocalyptic number.

1129968 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 1129968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934400).

1129968 is an abundant number, since it is smaller than the sum of its proper divisors (2738832).

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

1129968 is a wasteful number, since it uses less digits than its factorization.

1129968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1129968 is about 1062.9995296330. Note that the first 3 decimals coincide. The cubic root of 1129968 is about 104.1570605186.

The spelling of 1129968 in words is "one million, one hundred twenty-nine thousand, nine hundred sixty-eight".