1033066540 has 72 divisors (see below), whose sum is σ = 2524961376. Its totient is φ = 353548800.

The previous prime is 1033066493. The next prime is 1033066561. The reversal of 1033066540 is 456603301.

1033066540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1033066499 and 1033066508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28585 + ... + 53695.

It is an arithmetic number, because the mean of its divisors is an integer number (35068908).

Almost surely, 2^1033066540 is an apocalyptic number.

1033066540 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 1033066540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262480688).

1033066540 is an abundant number, since it is smaller than the sum of its proper divisors (1491894836).

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

1033066540 is a wasteful number, since it uses less digits than its factorization.

1033066540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159 (or 25146 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 1033066540 is about 32141.3524917667. The cubic root of 1033066540 is about 1010.9028752923.

Adding to 1033066540 its reverse (456603301), we get a palindrome (1489669841).

The spelling of 1033066540 in words is "one billion, thirty-three million, sixty-six thousand, five hundred forty".