1032990432 has 72 divisors (see below), whose sum is σ = 2802142728. Its totient is φ = 333192960.

The previous prime is 1032990403. The next prime is 1032990433. The reversal of 1032990432 is 2340992301.

1032990432 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 = 1032990393 and 1032990402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032990433) 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, 86658 + ... + 97854.

It is an arithmetic number, because the mean of its divisors is an integer number (38918649).

Almost surely, 2^1032990432 is an apocalyptic number.

1032990432 is a gapful number since it is divisible by the number (12) 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 1032990432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401071364).

1032990432 is an abundant number, since it is smaller than the sum of its proper divisors (1769152296).

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

1032990432 is a wasteful number, since it uses less digits than its factorization.

1032990432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11233 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1032990432 is about 32140.1685123149. The cubic root of 1032990432 is about 1010.8780496293.

The spelling of 1032990432 in words is "one billion, thirty-two million, nine hundred ninety thousand, four hundred thirty-two".