1006632441 has 20 divisors (see below), whose sum is σ = 1592192052. Its totient is φ = 631611648.

The previous prime is 1006632439. The next prime is 1006632443. The reversal of 1006632441 is 1442366001.

It is an interprime number because it is at equal distance from previous prime (1006632439) and next prime (1006632443).

It can be written as a sum of positive squares in 2 ways, for example, as 794056041 + 212576400 = 28179^2 + 14580^2 .

It is not a de Polignac number, because 1006632441 - 2¹ = 1006632439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006632443) 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, 364140 + ... + 366893.

Almost surely, 2^1006632441 is an apocalyptic number.

It is an amenable number.

1006632441 is a deficient number, since it is larger than the sum of its proper divisors (585559611).

1006632441 is an equidigital number, since it uses as much as digits as its factorization.

1006632441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731062 (or 731053 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1006632441 is about 31727.4713931003. The cubic root of 1006632441 is about 1002.2059439000.

Adding to 1006632441 its reverse (1442366001), we get a palindrome (2448998442).

The spelling of 1006632441 in words is "one billion, six million, six hundred thirty-two thousand, four hundred forty-one".