1129248 has 48 divisors (see below), whose sum is σ = 3296160. Its totient is φ = 376128.

The previous prime is 1129229. The next prime is 1129253. The reversal of 1129248 is 8429211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (68670).

2^1129248 is an apocalyptic number.

1129248 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 1129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648080).

1129248 is an abundant number, since it is smaller than the sum of its proper divisors (2166912).

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

1129248 is a wasteful number, since it uses less digits than its factorization.

1129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1129248 is about 1062.6608113599. The cubic root of 1129248 is about 104.1349333382.

The spelling of 1129248 in words is "one million, one hundred twenty-nine thousand, two hundred forty-eight".