1006631040 has 64 divisors (see below), whose sum is σ = 3208642560. Its totient is φ = 268434432.

The previous prime is 1006631027. The next prime is 1006631053. The reversal of 1006631040 is 401366001.

It is an interprime number because it is at equal distance from previous prime (1006631027) and next prime (1006631053).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1006630998 and 1006631016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260224 + ... + 264063.

It is an arithmetic number, because the mean of its divisors is an integer number (50135040).

Almost surely, 2^1006631040 is an apocalyptic number.

1006631040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006631040 is an abundant number, since it is smaller than the sum of its proper divisors (2202011520).

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

1006631040 is an equidigital number, since it uses as much as digits as its factorization.

1006631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524309 (or 524297 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1006631040 is about 31727.4493144343. The cubic root of 1006631040 is about 1002.2054789533.

Adding to 1006631040 its reverse (401366001), we get a palindrome (1407997041).

The spelling of 1006631040 in words is "one billion, six million, six hundred thirty-one thousand, forty".