1032788961 has 20 divisors (see below), whose sum is σ = 1548109332. Its totient is φ = 686160288.

The previous prime is 1032788959. The next prime is 1032788993. The reversal of 1032788961 is 1698872301.

It can be written as a sum of positive squares in 2 ways, for example, as 406788561 + 626000400 = 20169^2 + 25020^2 .

It is not a de Polignac number, because 1032788961 - 2¹ = 1032788959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032788261) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1975 + ... + 45491.

Almost surely, 2^1032788961 is an apocalyptic number.

It is an amenable number.

1032788961 is a deficient number, since it is larger than the sum of its proper divisors (515320371).

1032788961 is an equidigital number, since it uses as much as digits as its factorization.

1032788961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43822 (or 43813 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1032788961 is about 32137.0341039742. The cubic root of 1032788961 is about 1010.8123259313.

The spelling of 1032788961 in words is "one billion, thirty-two million, seven hundred eighty-eight thousand, nine hundred sixty-one".