1029648 has 40 divisors (see below), whose sum is σ = 2802400. Its totient is φ = 324864.

The previous prime is 1029647. The next prime is 1029653. The reversal of 1029648 is 8469201.

1029648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1029643) 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, 348 + ... + 1476.

It is an arithmetic number, because the mean of its divisors is an integer number (70060).

2^1029648 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 1029648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401200).

1029648 is an abundant number, since it is smaller than the sum of its proper divisors (1772752).

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

1029648 is a wasteful number, since it uses less digits than its factorization.

1029648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1029648 is about 1014.7157237374. The cubic root of 1029648 is about 100.9786577131.

The spelling of 1029648 in words is "one million, twenty-nine thousand, six hundred forty-eight".