1006631472 has 320 divisors, whose sum is σ = 3533773824. Its totient is φ = 238878720.

The previous prime is 1006631471. The next prime is 1006631513. The reversal of 1006631472 is 2741366001.

It is not an unprimeable number, because it can be changed into a prime (1006631471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2324568 + ... + 2325000.

Almost surely, 2^1006631472 is an apocalyptic number.

1006631472 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 1006631472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766886912).

1006631472 is an abundant number, since it is smaller than the sum of its proper divisors (2527142352).

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

1006631472 is a wasteful number, since it uses less digits than its factorization.

1006631472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1006631472 is about 31727.4561224186. The cubic root of 1006631472 is about 1002.2056223202.

Adding to 1006631472 its reverse (2741366001), we get a palindrome (3747997473).

The spelling of 1006631472 in words is "one billion, six million, six hundred thirty-one thousand, four hundred seventy-two".