1032033140 has 36 divisors (see below), whose sum is σ = 2221491468. Its totient is φ = 402731520.

The previous prime is 1032033139. The next prime is 1032033143. The reversal of 1032033140 is 413302301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 610880656 + 421152484 = 24716^2 + 20522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032033143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18272 + ... + 48968.

Almost surely, 2^1032033140 is an apocalyptic number.

1032033140 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 1032033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110745734).

1032033140 is an abundant number, since it is smaller than the sum of its proper divisors (1189458328).

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

1032033140 is a wasteful number, since it uses less digits than its factorization.

1032033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30788 (or 30745 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1032033140 is about 32125.2726058473. The cubic root of 1032033140 is about 1010.5656864410.

Adding to 1032033140 its reverse (413302301), we get a palindrome (1445335441).

The spelling of 1032033140 in words is "one billion, thirty-two million, thirty-three thousand, one hundred forty".