1033648 has 40 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 402240.

The previous prime is 1033631. The next prime is 1033661. The reversal of 1033648 is 8463301.

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 7 ways as a sum of consecutive naturals, for example, 813 + ... + 1651.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2^1033648 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 1033648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

1033648 is an abundant number, since it is smaller than the sum of its proper divisors (1466192).

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

1033648 is a wasteful number, since it uses less digits than its factorization.

1033648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1033648 is about 1016.6848085813. The cubic root of 1033648 is about 101.1092501458.

Adding to 1033648 its reverse (8463301), we get a palindrome (9496949).

It can be divided in two parts, 1033 and 648, that added together give a square (1681 = 41²).

The spelling of 1033648 in words is "one million, thirty-three thousand, six hundred forty-eight".