1006632960 has 108 divisors (see below), whose sum is σ = 3221225448. Its totient is φ = 268435456.

The previous prime is 1006632947. The next prime is 1006632983. The reversal of 1006632960 is 692366001.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)²³.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2 and base 4.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1280 × 768 × 1024.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 1006632960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 201326590 + ... + 201326594.

Almost surely, 2^1006632960 is an apocalyptic number.

1006632960 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 1006632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610612724).

1006632960 is an abundant number, since it is smaller than the sum of its proper divisors (2214592488).

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

1006632960 is an frugal number, since it uses more digits than its factorization.

1006632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

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

The square root of 1006632960 is about 31727.4795721312. The cubic root of 1006632960 is about 1002.2061161392.

Adding to 1006632960 its reverse (692366001), we get a palindrome (1698998961).

The spelling of 1006632960 in words is "one billion, six million, six hundred thirty-two thousand, nine hundred sixty".