1033040 has 40 divisors (see below), whose sum is σ = 2473800. Its totient is φ = 400896.

The previous prime is 1033037. The next prime is 1033057. The reversal of 1033040 is 403301.

1033040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 633616 = 632^2 + 796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 2786 + ... + 3134.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2^1033040 is an apocalyptic number.

1033040 is a gapful number since it is divisible by the number (10) 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 1033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236900).

1033040 is an abundant number, since it is smaller than the sum of its proper divisors (1440760).

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

1033040 is a wasteful number, since it uses less digits than its factorization.

1033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1033040 is about 1016.3857535405. The cubic root of 1033040 is about 101.0894218350.

Adding to 1033040 its reverse (403301), we get a palindrome (1436341).

The spelling of 1033040 in words is "one million, thirty-three thousand, forty".