1029248 has 64 divisors (see below), whose sum is σ = 2423520. Its totient is φ = 430080.

The previous prime is 1029247. The next prime is 1029251. The reversal of 1029248 is 8429201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1029247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23915 + ... + 23957.

2^1029248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211760).

1029248 is an abundant number, since it is smaller than the sum of its proper divisors (1394272).

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

1029248 is a wasteful number, since it uses less digits than its factorization.

1029248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1029248 is about 1014.5186050536. The cubic root of 1029248 is about 100.9655798799.

The spelling of 1029248 in words is "one million, twenty-nine thousand, two hundred forty-eight".